$(a)\;3\qquad(b)\;\large\frac{5}{2}\qquad(c)\;\large\frac{5}{3}\qquad(d)\;\large\frac{7}{2}$

Thermodynamics

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Answer : 3

Explanation :

Since $\;V \; \propto \;T\;$ , or $\;\large\frac{V}{T}\;$ = Constant

$\bigtriangleup Q = nC_{P} \bigtriangleup T = \large\frac{nrR}{r-1} \bigtriangleup T$

$\bigtriangleup W = P \bigtriangleup V = n R \bigtriangleup T $

$\large\frac{\bigtriangleup Q}{\bigtriangleup W} = \large\frac{r}{r-1} = \large\frac{\large\frac{3}{2}}{\large\frac{3}{2} -1}$

$= 3$

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