Question

A sample of $100$ liters of carbon dioxide at ${25}^{o}C$ and 1 atmospheric pressure is reduced by being passed over hot coke according to the equation above. When measured at ${25}^{o}C$ and 1 atmospheric pressure, the volume of carbon monoxide formed is :

$C{O}_2\left(g\right)+C\left(s\right)⟶2CO\left(g\right)$

• A. $22.4$ liters
• B. $44.8$ liters
• C. $50$ liters
• D. $100$ liters
• E. $200$ liters

Answer 1

Answer: (E)

$200$ liters

According to the balanced chemical equation
$C{O}_2\left(g\right)+C\left(s\right)\to 2CO\left(g\right)$
1 mole of $C{O}_2$ gives 2 moles of $CO$.
Also, volume is directly proportional to the number of moles.
1 L of $C{O}_2$ gives 2 L of $CO$.
Hence, 100 L of $C{O}_2$ will give $100\times \frac{2}{1}=200$ L of $CO$.