Question

A fixed mass $\text{m}$ of a gas is subjected to transformation of states from $\text{K}$ to $\text{L}$ to $\text{M}$ to $\text{N}$ and back to $\text{K}$ as shown in the figure.



The succeeding operation that enable this transformation of state are

• A. heating, cooling, heating, cooling
• B. cooling, heating, cooling , heating
• C. heating, cooling, cooling, heating
• D. cooling , heating , heating , cooling

Answer 1

Answer: (C)

$K\to L$ : Isochoric process with increasing in pressure so by $\left(\frac{T_L}{T_K}\right)=\left(\frac{P_L}{P_K}\right)$

$P_L>P_K$ so $T_L>T_K$ so it is a case of heating

$L\to M$ : Isobaric process with increasing in pressure so by $\left(\frac{T_M}{T_L}\right)=\left(\frac{V_M}{V_L}\right)$

$V_M<V_L$ so $T_M<T_L$ so it is a case of cooling

Similarly for

$M\to N$ : Isochoric process with increasing in pressure so by $\left(\frac{T_N}{T_M}\right)=\left(\frac{P_N}{P_M}\right)$

$P_N<P_M$ so $T_N<T_M$ so it is a case of cooling