Question

Assertion: The volume of $1$ mole of an ideal gas at $1$ bar pressure at ${25}^{0}C$ is $24.78$ L
Reason: $1$ bar $=0.987$ atm

• A. Both Assertion and reason are correct and reason is correct explanation of Assertion
  
• B. Both assertion and reason are correct but reason is not correct explanation of assertion
  
• C. Assertion is correct but reason is incorrect
  
• D. Assertion is incorrect but reason is correct
  

Answer 1

Answer: (B)

Both assertion and reason are correct but reason is not correct explanation of assertion

The temperature is $25$ ${}^{o}C$ or $298K$ . The pressure is $1bar$ or $0.987atm$.

The ideal gas equation is $V=\frac{n\times R\times T}{P}$.

Here, $R$ is the ideal gas constant. Its value is $0.0821$ $Latmmo{l}^{-1}{K}^{-1}$.

Substituting values in the ideal gas equation,
$V=\frac{1\times 0.0821\times 298}{0.987}=24.78L$.