AP EAMCET · PHYSICS · Thermodynamics
Three moles of a gas at a temperature ' \(\mathrm{T}\) ' is heated to thrice its volume by keeping the pressure constant. If ' \(\gamma\) is the ratio of specific heats, then the increase in internal energy of the gas is
- A \(\frac{3 \mathrm{RT}}{\gamma-1}\)
- B \(\frac{6 \mathrm{RT}}{\gamma-1}\)
- C \(\frac{8 \mathrm{R}}{\gamma-1}\)
- D \(\frac{3 \mathrm{R}}{2(\gamma-1)}\)
Answer & Solution
Correct Answer
(B) \(\frac{6 \mathrm{RT}}{\gamma-1}\)
Step-by-step Solution
Detailed explanation
Number of moles, \(\mathrm{n}=3\) Initial volume, \(\mathrm{V}_{\mathrm{i}}=\mathrm{V}\) Final volume, \(\mathrm{V}_{\mathrm{f}}=3 \mathrm{~V}\) Ratio of specific heat, \(\gamma=\frac{C_p}{C_v}\) Change in internal energy,…
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