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${}_0{V}_0$ 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)

$T_A=T_B\Rightarrow therefore{U}_A=U_B$
$W_{AB}=(1)(R)T_{0}ln\left(\frac{v_f}{v_i}\right)=R{T}_{0}ln\left(\frac{4V_0}{V_1}\right)=p_0{v}_{0}ln(4)$
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)