Question

When two moles of an ideal gas $(C_{p,m}=\frac{5}{2}R)$ is heated from $300$ K to $600$ K at constant pressure, the change in entropy of the gas ($\Delta$S) is

• A. $\frac{3}{2}Rln2$
• B. $3Rln2$
• C. $5Rln2$
• D. $\frac{5}{2}Rln2$

Answer 1

The correct option is C $5Rln2$

$\Delta S=n{C}_{p,m}\times ln\left(\frac{T_2}{T_1}\right)$

$\Delta S=2\times \frac{5}{2}R\times ln\left(\frac{600}{300}\right)=5Rln2$