C3H8 combusts.
molar masses:
tricarbon octahydride: 44.11 g/mol
oxygen gas: 32 g/mol
water: 18.02 g/mol
carbon dioxide: 44.01 g/mol
a. Write a balanced chemical reaction.
b. If 5.34 g of tricarbon octahydride reacts with 25.2 g of oxygen gas, what is the limiting reactant? (tricarbon octahydride)
c. How many grams of water is produced? (8.72168)
d. How much excess reactant is left over after the reaction is complete? (5.84)
e. What is the percent yield of water if 6.98 g of water is actually produced in a laboratory experiment? (80.0459)
Answers
Answer:
The balanced chemical equation:
C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(l)
Explanation:
(a): The balanced chemical equation:
C3H8(g) + 5O2(g) → 3CO2(g) + 4H2O(l)
(b): Determine moles of each reactant:
(5.34 g C3H8) × (1 mol C3H8 / 44.11 g C3H8) = 0.1211 mol C3H8
(25.2 g O2) × (1 mol O2 / 32.00 g O2) = 0.7875 mol O2
According to the chemical equation above: n(C3H8) = n(O2)/5
Choose one reactant and determine how many moles of the other reactant are necessary to completely react with it. Let's choose C3H8:
n(O2) = 5 × n(C3H8) = 5 × 0.1211 mol = 0.6055 mol
The calculation above means that we need 0.6055 mol of O2 to completely react with 0.1211 mol C3H8.
We have 0.7875 mol O2 and therefore more than enough oxygen.
Thus oxygen (O2) is in excess and tricarbon octahydride (C3H8) must be the limiting reactant.
The limiting reactant is tricarbon octahydride (C3H8).
(c):
(5.34 g C3H8) × (1 mol C3H8 / 44.11 g C3H8) × (4 mol H2O/ 1 mol C3H8) × (18.02 g H2O / 1 mol H2O) = 8.726 g H2O
8.726 grams of water (H2O) is produced.
(d):
0.7875 mol O2 - 0.6055 mol of O2 = 0.182 mol O2 (excess O2)
(0.182 mol O2) × (1 mol O2 / 32.00 g O2) = 5.824 g O2
5.824 grams of oxygen gas (O2) is left over after the reaction is complete.
(e):
%H2O = (6.98 g / 8.726 g) × 100% = 79.99% = 80.00%
The percent yield of water (H2O) is 80.00%.
Related Questions
Calculate the molar mass of Fe 3(PO 4) 2. 237.64 g/mol 262.52 g/mol 245.79 g/mol 357.49 g/mol 525.04 g/mol
Answers
The molar mass of Fe3(PO4)2 can be calculated by adding the molar masses of each individual element in the compound.
Fe3(PO4)2 is made up of:
3 atoms of Fe (molar mass of Fe = 55.845 g/mol)
2 atoms of P (molar mass of P = 30.973762 g/mol)
8 atoms of O (molar mass of O = 15.9994 g/mol)
To calculate the molar mass of Fe3(PO4)2, we add up the molar masses of each element:
Molar mass of Fe3(PO4)2 = 3(55.845 g/mol) + 2(30.973762 g/mol) + 8(15.9994 g/mol)
= 167.535 g/mol
So the molar mass of Fe3(PO4)2 is 167.535 g/mol
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cuantos gramos y moleculas de dioxido de carbono hay en 0.5 moles de dioxido de carbono
paso a paso
Answers
Answer:
metro= 22g
Explanation:
Convert 200°F into °C
Answers
paringly Soluble Salt (A) Fill in the table Step Procedure Mixing 0.1 M Na.co, and 0.1 M CaCl2 Observation made Percipi Eate (B) Write the balanced chemical reaction taking place when Naco, is mixed with CaCl, (this is a double replacement reaction). Include all phases and write correct product formulas. (C) Write the net ionic equation taking place for the reaction in (B). (This (4) is your equilibrium reaction) (4) (D) Fill in the table Step Procedure Observation Adding 6 M HCI destroyed the percipitate, The added HCl (the stress) reacts according to the following equations: 2H+ (aq) + CO, HCO, (aq) → H20 (1) + CO:8) (E) Look at the net ionic reaction (your equilibrium reaction (4) above). Which ion from (4) did * react with? (F) Why did the calcium carbonate decompose when the HCI was added? (G) Explain how Le Chatelier's principle was demonstrated in this experiment. How did the addition of H" (aq) stress the equilibrium reaction and howvdid the reaction shifted to compensate for the stress.
Answers
Na2CO3 (aq) + CaCl2(aq) → CaCO3 (s) + 2 NaCl (aq) is balanced chemical reaction
"Balancing by inspection," often known as trial and error, is the most fundamental and widely used technique for balancing chemical equations. Several strategies can be employed to lessen the number of tries and errors necessary to generate an equation that is ultimately suitably balanced. The conservation of matter criterion must be followed in order for a chemical equation to be considered balanced. There are two different kinds of numbers that are employed in chemical equations. In the chemical formulations of the reactants and products, subscripts are employed. Additionally, coefficients are used to show how many molecules of a certain substance are used up or produced before chemical compositions.
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in each part, select the substance that has the higher boiling point, based on the relative strengths of the intermolecular attractions. select one or more: a. c3h8 > ch4 b. ch4> c3h8 c. icl > i2 d. i2 >icl e. h2se > h2o f. h2o > h2se g. ch2cl2 > ch3cl h. ch3cl > ch2cl2 i. nof > nocl j. nocl > nof
Answers
Based on the the relative strengths of the intermolecular attractions, the correct selections are:
a. C₃H₈ > CH₄
c. ICl > I₂
e. H₂Se > H₂O
g. CH₂Cl₂ > CH₃Cl
i. NOF > NOCl
To determine the substance with the higher boiling point based on the relative strengths of intermolecular attractions, we need to consider the types of intermolecular forces present in each substance. The stronger the intermolecular forces, the higher the boiling point.
a. C₃H₈ > CH₄: C₃H₈ (propane) has a higher boiling point than CH₄ (methane) because propane has a larger molecular size and exhibits stronger London dispersion forces due to increased electron-electron interactions.
c. ICl > I₂: ICl (iodine chloride) has a higher boiling point than I₂ (diatomic iodine) due to the presence of polar covalent bonds in ICl. The dipole-dipole interactions between the polar I-Cl bonds in ICl are stronger than the London dispersion forces in I₂.
e. H₂Se > H₂O: H₂Se (hydrogen selenide) has a higher boiling point than H₂O (water) because H₂Se molecules exhibit stronger London dispersion forces compared to H₂O, which has hydrogen bonding.
g. CH₂Cl₂ > CH₃Cl: CH₂Cl₂ (dichloromethane) has a higher boiling point than CH₃Cl (chloromethane) due to the presence of two chlorine atoms in CH₂Cl₂, which enhances the strength of London dispersion forces compared to the single chlorine atom in CH₃Cl.
i. NOF > NOCl: NOF (nitrogen monoxide fluoride) has a higher boiling point than NOCl (nitrogen monoxide chloride) because the fluorine atom in NOF forms a stronger hydrogen bond with nitrogen compared to the chlorine atom in NOCl, resulting in stronger intermolecular forces.
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A beaker containing 1.00 L of 2.00 M LiCl is allowed to sit undisturbed in a warm
room. After three hours, water has evaporated and brings the volume down to
0.925 L. What is the new concentration of the lithium chloride solution? (write
answer to two decimal places).
Answers
A beaker containing 1.00 L of 2.00 M LiCl is allowed to sit undisturbed in a warm room. The new concentration of the lithium chloride solution is 2.16 M.
The number of moles of LiCl initially present in the solution is:
moles of LiCl = concentration x volume = 2.00 M x 1.00 L = 2.00 mol
After the water has evaporated, the number of moles of LiCl in the solution is still 2.00 mol, since no LiCl has been lost or added.
The new volume of the solution is 0.925 L.
Calculate the new concentration of the solution using:
New concentration = moles of LiCl / new volume
New concentration = 2.00 mol / 0.925 L
= 2.16 M
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What happens to iron in a bolt as the bolt rusts?
Answers
Answer:
write the following as fractions in their simplest form
When appraising a manufactured home, an appraiser needs to look for the __________ to verify that the home was constructed in accordance with federal standards.
Answers
When appraising a manufactured home, an appraiser needs to look for the HUD label to verify that the home was constructed in accordance with federal standards.
Appraisers look the condition of the property, improvements or additions made to the property, lot size and "renovation" or recently sold properties of similar size and condition in the same market.
One of the biggest things that can have a negative impact is the age and condition of the home's HVAC systems and appliances. If the local market goes down, so will the assessed value of your home. Property valuation is influenced by recent sales of similar properties and current market trends.
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from a consideration of the masses of water measured in part c, and given that the density of water is 1 glml, which is the most ac€urate method of volume measurement--cylinder, pipet, or buret
Answers
The most accurate method of volume measurement among a cylinder, pipet, and buret can be determined by considering the masses of water measured.
To determine the most accurate method of volume measurement, we need to compare the measured masses of water using the different instruments and consider the density of water, which is 1 g/mL.
The density of water tells us that 1 mL of water has a mass of 1 gram. If the measured masses of water using the instruments are close to the expected values based on the density of water, it suggests that the instrument provides accurate volume measurements.
For example, if the measured mass of water using the cylinder is very close to the expected mass based on the volume calculated using the density of water, then the cylinder can be considered an accurate method of volume measurement. Similarly, if the measured masses using the pipet or buret are close to the expected values, then those instruments can be considered accurate as well.
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Carbon cycle – What are the main reservoirs
of the carbon cycle? Where do the inorganic and organic carbon
cycles interact? What are the major differences and similarities
between the inorganic and organic carbon?
Answers
The main reservoirs of the carbon cycle are the atmosphere, oceans, land (including vegetation and soils), and fossil fuels. In these reservoirs, carbon exists in both inorganic and organic forms.
The inorganic carbon cycle involves the exchange of carbon dioxide (CO2) between the atmosphere and oceans through processes like photosynthesis and respiration.
Organic carbon, on the other hand, is found in living organisms, dead organic matter, and soil organic matter. It is cycled through processes such as decomposition and consumption by organisms. The interactions between the inorganic and organic carbon cycles occur primarily in the biosphere, where photosynthesis converts inorganic carbon into organic carbon compounds. While inorganic carbon is primarily in the form of CO2, organic carbon is present in complex organic molecules. Both forms of carbon play crucial roles in energy transfer, nutrient cycling, and climate regulation.
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A student has a mixture of salt and iron filings.
Which property can the student use to separate the different parts of the mixture?
Answers
Answer:
aksksks
Explanation:ss
x
zxrkkrkrkkrkkrrkr
Air is cooling at night. The frost point (temperature at which RH with respect to ice reaches 100%) is reached at T = -10 degree Celsius. a) What is the RH (normal RH with respect to liquid water) at this point? b) Upon further cooling the air reaches a temperature of T =-11 degree Celsius Kaolinite particles of 200 nm diameter are present. Do you expect ice particles to form? If yes, do they form via deposition nucleation or condensation of droplets followed by freezing? Briefly explain your answer. c) Upon even further cooling the air reaches a temperature of T = -12 degree Celsius. Same question as before: Do you expect ice particles to form now? If yes, do they form via deposition nucleation or condensation of droplets followed by freezing? Briefly explain your answer. Equilibrium vapor pressures may be calculated or taken from the table below. t/°C 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 - 10 -11 -12 -13 T/ Keow /Pa 273.15 611.2 272.15 568.2 271.15 527.9 270.15 490.2 269.15 454.8 268.15 421.8 267.15 390.9 266.15 362.1 265.15 335.1 264.15 310.0 263.15 286.5 262.15 264.7 261.15 244.3 260.15 225.4 259.15 207.8 258.15 191.4 e oi/Pa 611.2 562.7 517.7 476.1 437.5 401.8 368.7 338.2 310.0 283.9 259.9 237.7 217.3 198.5 181.2 165.3 - 14 - 15 Equilibrium vapor pressures with respect to water (eow) and with respect to ice (coi).
Answers
The equilibrium vapor pressure with respect to water (eow) is 259.9 Pa. assume that saturation vapor pressure is same as equilibrium vapor pressure.
Therefore, the RH at the frost point is
RH = (eow / saturation vapor pressure) × 100
= (259.9 Pa / 259.9 Pa) × 100
= 100%
b) At T = -11 °C, we need to compare the equilibrium vapor pressure with respect to water (eow) and the equilibrium vapor pressure with respect to ice (coi) to determine if ice particles will form. From the given table, at T = -11 °C, the equilibrium vapor pressure with respect to water (eow) is 237.7 Pa, and the equilibrium vapor pressure with respect to ice (coi) is 165.3 Pa.
The air is supersaturated with respect to ice, and the presence of Kaolinite particles can provide surfaces for water droplets to condense onto, leading to the formation of ice particles.
c) At T = -12 °C, we compare the equilibrium vapor pressure with respect to water (eow) and the equilibrium vapor pressure with respect to ice (coi). From the given table, at T = -12 °C, the equilibrium vapor pressure with respect to water (eow) is 217.3 Pa, and the equilibrium vapor pressure with respect to ice (coi) is 181.2 Pa.
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A gas at constant pressure and a temperature of 293K has a volume of 8.0 L. If the temperature of the gas is increased to 314K, what is the volume?
Answers
V2 = 8.6 L
Explanation:
Given:
T1 = 293K. T2 = 314K
V1 = 8.0 L V2 = ?
Using Charles's law and solving for T2,
V1/T1 = V2/T2
V2 = (T2/T1)V1
= (314K/293K)(8.0 L)
= 8.6 L
what orbitals are accountable to the law of octaves
Answers
The orbitals are accountable to the law of octaves are: 1s 2s 2p 2p 3s 3p 3d 4s 4p 4d 5s 5p 4f 5d 6s 6p 5f 6d 7s .
The law of octaves introduced by the English chemist named J.A.R Newlands. According to it if we arranged the chemical elements in the periodic table according to their atomic mass then those that have the similar physical and the chemical properties will occur after the each interval of the seven elements.
The last element that is known was the thorium with the atomic mass of 232. Newlands' law of octave was firstly applicable only up to the calcium with atomic mass of 40. Now there are more ninety elements known up to the thorium.
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What statement about models of isotopes below is accurate?
A- Each picture represents a different element because they have different numbers of neutrons
B- each picture represents an isotope of carbon because they each have 6 protons
C- each picture represents an isotope of lithium because they each have 3 protons
Answers
Answer : The correct option is (C) each picture represents an isotope of lithium because they each have 3 protons.
Explanation :
Isotope : It is defined as the element that have the same number of protons but have the different number of neutrons of each of the atom.
As in the given picture, the number of protons are same but number of neutrons are different.
As we know that atomic number is either equal to number of protons or electrons for neutral atom.
The number of protons in the given picture are 3.
So, the element will be lithium with atomic number 3 and all are the isotopes of lithium.
Hence, the correct option is (C) each picture represents an isotope of lithium because they each have 3 protons.
What is the difference between dissolving and dissociating and how does this relate to the van't Hoff factor? In your own words, describe the difference in the van't Hoff factor for NaCl and that assumed for an unknown compound. Hint: Consider table salt and sugar and think about how each compound behaves in water.
Answers
When a substance is added to a solvent, two processes take place: dissolving and dissociating. A solid substance is said to dissolve when it is equally distributed throughout a solvent to create a homogenous solution. The process by which a chemical separates into its constituent ions in a solution is referred to as dissociating, on the other hand.
The number of ions that a compound dissociates into when it is dissolved in a solvent is measured by the van't Hoff factor, also referred to as the ionization factor. For instance, the van't Hoff factor of table salt (NaCl), which dissociates into two ions in water (Na+ and Cl-), is 2. Contrarily, when sugar (sucrose) is dissolved in water, it does not separate into ions, hence its van't Hoff factor is 1.
The van't Hoff factor can typically be calculated experimentally by measuring the osmotic pressure or elevation of the solution's boiling point. A chemical that dissociates into ions in solution is indicated by a van't Hoff factor greater than 1, whereas a compound that does not disintegrate into ions is indicated by a van't Hoff factor equal to 1.
is it unsaturated, saturated, or super saturated
Answers
Answer:
saturated
Explanation:
It is not dense enough to be supersaturated.
Answer:
unsaturated
Explanation:
salts arent fatty
Many repeating, simple subunits are joined together. What is the most likely
O a halogen
O a polymer
O a monomer
an amino acid
Answers
Answer:
O a polymer
Explanation:
When many repeating simple subunits are joined together, this results into a polymer.
The simplest unit or smallest unit of any substance is called a monomer. When many units of a monomer joins together, a polymer results.
For proteins, the monomeric unit is amino-acid. When they combine they form longer chain molecules called proteins. For carbohydrates, the monomeric unit is called glucose. When they are combined they give us a wide range of carbohydrate molecules.Answer:
B: a polymer
Explanation:
cho dung dịch axit loãng tác dụng với muối sunfit
Answers
Answer:
jhykkjjhyefghhyuyy. iig jkhg k
Typically, nitrogen atoms are composed of electrons, protons, and neutrons. an isotope of nitrogen could?
Answers
Typically, nitrogen atoms are composed of electrons, protons, and neutrons. an isotope of nitrogen could have more number of neutrons than usual nitrogen atom.
What is proton ?
Protons include the H+ ion or the hydrogen atom's nucleus. Regardless of the isotope, each hydrogen atom has one proton, each helium atom has two, each lithium atom has three, and so on.
What is electron ?
It is possible for an electron to be free or linked to an atom. An electron is a negatively charged subatomic particle (not bound). There are three main types of particles in an atom: protons, neutrons, and an electron that is bonded to an atom. The nucleus of an atom is composed of protons, neutrons, and electrons.
Therefore, nitrogen atoms are composed of electrons, protons, and neutrons. an isotope of nitrogen could have more number of neutrons than usual nitrogen atom.
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the metal zirconium becomes superconducting at temperatures below . calculate the temperature at which zirconium becomes superconducting in degrees celsius. round your answer to decimal places.
Answers
The temperature at which zirconium becomes superconducting in degrees celsius is -272.604° C.
Superconductivity is a phenomenon where a material loses all electrical resistance below a certain temperature, called the critical temperature. In other words, the electrical conductivity of a superconductor is infinite below this temperature.
This property has many practical applications, including in high-field magnets, electrical power transmission, and medical imaging equipment.
The underlying mechanism of superconductivity is not yet fully understood and is an active area of research in physics and materials science. There are several theoretical models that attempt to explain the behavior of superconductors, but more research is needed to fully understand the phenomenon.
Therefore, The temperature at which zirconium becomes superconducting in degrees celsius is -272.604° C.
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What is the volume of a solution that has a specific gravity of 1. 2 and a mass of 185g.
Answers
During a Solar eclipse, the ___________is blocking the light from the __________ so a shadow appears on the ___________.
During a lunar eclipse, the _________is blocking the light from the ________so a shadow appears on the _________.
Lunar eclipses are more able to be seen because the Earth is __________ than the ________.
When a solar eclipse occurs, do not look directly at the sun because the light will harm you. There is no fill in the blank. All you have to do is type OK. ________
Answers
During a solar eclipse, the Moon is blocking the light from the Sun so a shadow appears on the Earth.
What is Solar eclipse?
A solar eclipse occurs when the Moon passes between the Sun and the Earth, and as a result, the Moon casts a shadow on the Earth's surface. This happens only during a New Moon phase, when the Moon is on the same side of the Earth as the Sun and its shadow falls on the Earth's surface.
There are two types of shadows that the Moon casts on the Earth during a solar eclipse: the umbra and the penumbra. The umbra is the darker central region of the shadow where the Sun is completely blocked by the Moon, while the penumbra is the lighter outer region where the Sun is only partially blocked by the Moon.
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How can we prepare for climate change??
Plzzzzzzzz helppppppo
Answers
Answer:
WE start by having all the thing s that would be necessary at that time so we would have to worry about what we don't or won't have if you do before hand.
Explanation:
Nitric acid, HNO3(aq), can be manufacturer from ammonia using a series of three chemical reactions called the Ostwald process. The reactions involved are 4NH3(g) + 5O2(g) = 4NO(g) + 6H2O(g),
2NO(g) + O2(g) = 2NO2(g),
3NO2(g) + H2O(g) = 2HNO3(aq) + NO(g).
Determine the mass of nitric acid produced if 425 kg of ammonia reacts. Assume that plenty of oxygen is available.
Answers
Nitric acid (HNO3) is an odorless liquid that gives out yellow or red odors. Nitric acid exposure can irritate the eyes, skin, and mucous membranes.
Thus, It can also lead to dental erosion, delayed pulmonary edema, pneumonitis, and bronchitis.
The acid nitric is quite corrosive. Workers that are exposed to nitric acid risk injury. The dose, timeframe, and type of work determine the exposure level.Many industries use nitric acid.
It is employed in the production of explosives, dyes, and fertilizers. Additionally, nitric acid is utilized in the polymer sector. Many industries use nitric acid. It is employed in the production of explosives, dyes, and fertilizers.
Thus, Nitric acid (HNO3) is an odorless liquid that gives out yellow or red odors. Nitric acid exposure can irritate the eyes, skin, and mucous membranes.
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h3po4 3 naoh --> na3po4 3 h2o how much 0.20 m h3po4 is needed to react with 100 ml. of 0.10 m naoh?
Answers
50 ml of 0.20 M H₃PO₄ is needed to react with 100 ml of 0.10 M NaOH.
The balanced chemical equation for the reaction between H₃PO₄ and NaOH is H₃PO₄ + 3 NaOH --> Na₃PO₄ + 3 H₂O.
This equation indicates that one mole of H₃PO₄ reacts with three moles of NaOH to form one mole of Na₃PO₄ and three moles of H2O.
To determine the amount of 0.20 M H₃PO₄ needed to react with 100 ml of 0.10 M NaOH, we need to use the formula M1V1 = M2V2.
Here, M1 is 0.20 M, V1 is the volume of H₃PO₄ needed (unknown), M2 is 0.10 M, and V2 is 100 ml.
By rearranging the formula, we get
V1 = (M2V2) / M1, which is equal to (0.10 M x 100 ml) / 0.20 M = 50 ml.
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force acts on it.
Newton's first law of motion states that an object remains at rest unless a
a. balanced
c. gravitational
b. frictional
d. net
Answers
Answer:D.
Explanation:
Your next-door neighbor has a little girl who is 3 ft, 5 inches tall. What is the little girl’s height measured in inches? in decimeters?
Answers
Answer:
41 inches
Explanation:
There is 12 inches in 1 foot so times 12 and 3. Thats 36 so now do 36 + 5 that =41.
Rank the compounds in each of the following groups in order of increasing acidity or basicity, as indicated, and explain the order you assign.
(a) acidity: HCl, HBr, HI
(b) basicity: H2O, OH−, H−, Cl−
(c) basicity: Mg(OH)2, Si(OH)4, ClO3(OH) (Hint: Formula could also be written as HClO4.)
(d) acidity: HF, H2O, NH3, CH4
Answers
(a) Acidity: HCl > HBr > HI. The order of acidity of HCl, HBr, and HI is determined by their relative strengths. HCl is the strongest acid in the group, followed by HBr and then HI.
HCl has the greatest number of hydrogens, which allows it to donate more protons and thus produce more acidic solutions. HBr and HI both have fewer hydrogens, making them weaker acids than HCl.
(b) Basicity: H2O > OH− > H− > Cl−
The order of basicity of H2O, OH−, H−, and Cl− is determined by the relative strengths of the conjugate acids of the bases. H2O has the strongest conjugate acid, and therefore is the strongest base in the group.
OH− is the next strongest base, followed by H− and then Cl−. The conjugate acid of Cl− is the strongest of the acids, making it the weakest base of the group.
(c) Basicity: Mg(OH)2 > Si(OH)4 > ClO3(OH) (HClO4)
The order of basicity of Mg(OH)2, Si(OH)4, and ClO3(OH) (HClO4) is determined by their relative strengths. Mg(OH)2 has the strongest conjugate acid, and is thus the strongest base in the group.
Si(OH)4 is the next strongest base, followed by ClO3(OH). The conjugate acid of ClO3(OH) is the strongest of the acids, making it the weakest base of the group.
(d) Acidity: HF > H2O > NH3 > CH4
The order of acidity of HF, H2O, NH3, and CH4 is determined by their relative strengths. HF is the strongest acid in the group, followed by H2O and then NH3. CH4 is the weakest acid in the group.
HF has the greatest number of hydrogens, which allows it to donate more protons and thus produce more acidic solutions. H2O and NH3 both have fewer hydrogens, making them weaker acids than HF. CH4 has no hydrogens, making it the weakest acid of the group.
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(d) after how many years will only 19 mg of the sample remain? (round your answer to one decimal place.)
Answers
To determine the number of years it takes for only 19 mg of the sample to remain, we need to use the radioactive decay formula so the estimated time for the sample to decay to 19 mg would be approximately 55.15 years.
N = N₀ * (1/2)^(t/t₁/₂)
Where:
N is the final amount of the sample (19 mg)
N₀ is the initial amount of the sample (100 mg)
t is the time in years
t₁/₂ is the half-life of the substance (2 years)
Substituting the given values into the formula, we can solve for t:
19 mg = 100 mg * (1/2)^(t/2)
Dividing both sides of the equation by 100 mg, we have:
0.19 = (1/2)^(t/2)
Taking the logarithm (base 1/2) of both sides, we get:
log(0.19) = (t/2) * log(1/2)
Simplifying, we have:
t/2 = log(0.19) / log(1/2)
t = (2 * log(0.19)) / log(1/2)
Using a calculator, we can evaluate this expression to find the value of t. Rounding the answer to one decimal place, we get the number of years it takes for only 19 mg of the sample to remain.
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