(b) $- \frac{dQ}{dW} = \frac{dQ}{dQ - dE};\lbrack\because dE = dW + dQ: - dW = dQ - dE\rbrack$ $= \frac{nC_{p}dT}{nC_{p}dT - nC_{v}dT} = \frac{C_{p}}{(C_{p} - C_{v})}$ $= \frac{7}{2}$ for diatomic gas
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Ph.D. in Physics with 19+ years of teaching experience.