Question

One mole of an ideal gas in initial state A undergoes a cyclic process ABC A, as shown in the figure. Its pressure at A is p$_0$. Choose the correct option(s) from the following.

• A. Internal energies at A and B are the same
• B. Work done by the gas in process AB is p$_0V_0$ In 4
• C. Pressure at C' is $\frac{p_0}{4}$
• D. Temperature at C is $\frac{T_0}{4}$

Answer 1

Answer: (A), (B)

$T_A=T_B \, \, \Rightarrow \, \, \, therefore \, \, \, \, \, \, U_A=U_B$
$W_{AB}=(1)(R)T_0 ln \bigg(\frac{v_f}{v_i}\bigg)=RT_0 \, \, ln \bigg(\frac{4V_0}{V_1}\bigg)=p_0v_0 \, ln(4)$
Information regarding p and T at C can not be obtained from the given graph. Unless it is mentioned that line BC passes through origin or not.
Hence, the correct options are (a) and (b)