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)

$K \rightarrow L$ : 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

$L \rightarrow M$ : 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

$M \rightarrow N$ : 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