Question

For a rigid diatomic molecule, universal gas constant $R=nCp$ where ${}^{\prime }C{p}^{\prime }$ is the molar specific heat at constant pressure and ${}^{\prime }{n}^{\prime }$ is a number. Hence $n$ is equal to

• A. $0.2257$
• B. $0.4$
• C. $0.2857$
• D. $0.3557$

Answer 1

Answer: (C)

$0.2857$

Universal gas constant is given as $R=n{C}_p$

For diatomic molecule, $C_p=\frac{7}{2}R$

$\therefore$ $R=n\times \frac{7}{2}R$

$⟹$ $n=\frac{2}{7}=0.2857$