Thermodynamics Question 252

Question: During an adiabatic process of an ideal gas, if P is proportional to $ \frac{1}{{{V}^{1.5}}} $ , then the ratio of specific heat capacities at constant pressure to that at constant volume for the gas is

Options:

A) 1.5

B) 0.25

C) 0.75

D) 0.4

Show Answer

Answer:

Correct Answer: A

Solution:

[a] As $ $ $ \therefore \gamma \text{=1}\text{.5}( \therefore \text{Process is adiabatic} ) $

As we know, $ \frac{C _{P}}{C _{V}}=\gamma \text{ }\therefore \frac{C _{P}}{C _{V}}=5\text{ } $



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