MCQ
When $0.01\,mol$ of an organic compound containing $60\,\%$ carbon was burnt completely, $4.4\,g$ of $CO _2$ was produced. The molar mass of compound is $.........g\,mol ^{-1}$ (Nearest integer)
  • A
    $100$
  • B
    $50$
  • $200$
  • D
    $150$

Answer

Correct option: C.
$200$
c
Let $M$ is the molar mass of the compound $( g / mol )$ mass of compound $=0.01\,M\,gm$

$\text { mass of carbon }=0.01 M \times \frac{60}{100}$

$\text { moles of carbon }=\frac{0.01 M }{12} \times \frac{60}{100}$

moles of $CO _2$ from combustion $=\frac{4.4}{44}=$ moles of carbon

$\frac{0.01\,M }{12} \times \frac{60}{100}=\frac{4.4}{44}$

$M =\frac{4.4}{44} \times \frac{100}{60} \times \frac{12}{0.01}=200\, gm / mol$

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