Question

Work done by the gas in the process A $\to$ B is

• A. $5312.5J$
• B. $1875J$
• C. $0$
• D. $8854J$

Answer 1

Answer: (B)

$1875J$

Given : $T_A=1000K\gamma =\frac{5}{3}$ ( monoatomic gas)

Using, $P^{1-\gamma }{T}^{\gamma }=constant$ for A and B.

$\frac{T_B}{T_A}=[\frac{P_A}{P_B}{]}^{\frac{1-\gamma }{\gamma }}$

$\frac{T_B}{T_A}=[\frac{3}{2}{]}^{-0.4}=0.85$

$⟹T_B=850K$

Work done , $W_{AB}=\frac{R(T_2-T_1)}{1-\gamma }$

$W_{AB}=\frac{\frac{25}{3}(850-1000)}{1-\frac{5}{3}}=1875J$