COMEDK · Physics · 13. Thermodynamics
The ratio of specific heat capacities at constant pressure to that at constant volume for a given mass of a gas is \(\dfrac{5}{2}\). If the percentage increase in volume of the gas while undergoing an adiabatic change is \(\dfrac{3}{2}\), then the percentage decrease in pressure will be:
- A \(\dfrac{15}{4}\)
- B \(\dfrac{3}{5}\)
- C \(\dfrac{5}{3}\)
- D \(\dfrac{4}{15}\)
Answer & Solution
Correct Answer
(A) \(\dfrac{15}{4}\)
Step-by-step Solution
Detailed explanation
The ratio of specific heat capacities is given as \(\gamma = \dfrac{C_p}{C_v} = \dfrac{5}{2}\). For an adiabatic process, the relation between pressure and volume is \(PV^{\gamma} = \text{constant}\). Taking the logarithmic derivative, we get…
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