SATHEE: Thermodynamics Question 37

Thermodynamics Question 37

Question: $Δ U + Δ W = 0$ is valid for

[RPMT 2000]

Options:

A) 420K

B) $327^{o} C$

C) $300 K$

D) $- 142^{o} C$

Show Answer

Answer:

Correct Answer: D

Solution:

$T^{γ} P^{1 - γ} =$ constant

Therefore $T \propto P^{\frac{γ - 1}{γ}}$

Therefore $\frac{T_{2}}{T_{1}} = {(\frac{P_{2}}{P_{1}})}^{\frac{γ - 1}{γ}} = {(\frac{1}{8})}^{\frac{5 / 3 - 1}{5 / 3}}$

$T_{2} = 300 \times {(\frac{1}{8})}^{0.4} = 131 K = - 142^{\circ} C$

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