SATHEE: Thermodynamics Question 361

Thermodynamics Question 361

Question: A diatomic gas initially at 18°C is compressed adiabatically to one-eighth of its original volume. The temperature after compression will be

Options:

A) $10^{o} C$

B) $887^{o} C$

C) $668 K$

D) $144^{o} C$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $T V^{γ - 1} =$ constant $\Rightarrow T_{2} = T_{1} {(\frac{V_{1}}{V_{2}})}^{γ - 1} = (273 + 18) {(\frac{V}{V / 8})}^{0.4} = 668 K$

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