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Some Basic Concepts of Chemistry question

2022 · 26 Jun · Shift 2 · Q16
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Some Basic Concepts of Chemistry question

2022 · 26 Jun · Shift 2 · Q16

JEE MainChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
CNGCNGCNG is an important transportation fuel. When 100 g CNGCNGCNG is mixed with 208 g oxygenoxygenoxygen in vehicles, it leads to the formation of CO2CO_2CO2​ and H2OH_2OH2​O and produces large quantity of heat during this combustion, then the amount of carbon dioxide, produced in grams is ‾\underline{\hspace{2cm}}​. [nearest integer] [Assume CNGCNGCNG to be methane]
Numerical answer
View written solutionFree

Correct answer: 143

  1. Write the combustion reaction

Since CNGCNGCNG is assumed to be methane, the combustion reaction is:

CH4+2O2→CO2+2H2OCH_4 + 2O_2 \rightarrow CO_2 + 2H_2OCH4​+2O2​→CO2​+2H2​O

  1. Calculate moles of reactants
  • Molar mass of methane, CH4=16 g/molCH_4 = 16\,g/molCH4​=16g/mol
  • Molar mass of oxygen, O2=32 g/molO_2 = 32\,g/molO2​=32g/mol

So,

n(CH4)=10016=6.25 moln(CH_4) = \frac{100}{16} = 6.25\ moln(CH4​)=16100​=6.25 mol

n(O2)=20832=6.5 moln(O_2) = \frac{208}{32} = 6.5\ moln(O2​)=32208​=6.5 mol

  1. Find the limiting reagent

From the balanced equation:

1 mol CH4 requires 2 mol O21\ mol\ CH_4 \text{ requires } 2\ mol\ O_21 mol CH4​ requires 2 mol O2​

For 6.256.256.25 mol CH4CH_4CH4​, required oxygen would be:

2×6.25=12.5 mol O22 \times 6.25 = 12.5\ mol\ O_22×6.25=12.5 mol O2​

But only 6.56.56.5 mol O2O_2O2​ is available, so O2O_2O2​ is the limiting reagent.

  1. Calculate moles of CO2CO_2CO2​ formed

From the equation:

2 mol O2→1 mol CO22\ mol\ O_2 \rightarrow 1\ mol\ CO_22 mol O2​→1 mol CO2​

Therefore,

n(CO2)=6.52=3.25 moln(CO_2) = \frac{6.5}{2} = 3.25\ moln(CO2​)=26.5​=3.25 mol

  1. Convert moles of CO2CO_2CO2​ to mass

Molar mass of CO2=44 g/molCO_2 = 44\,g/molCO2​=44g/mol

m(CO2)=3.25×44=143 gm(CO_2) = 3.25 \times 44 = 143\,gm(CO2​)=3.25×44=143g

  1. Final answer

The amount of carbon dioxide produced is:

143\boxed{143}143​

This matches the stored correct answer.

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