Question

At 27⁰C a gas is compressed suddenly such that its pressure becomes $\left( \frac{1}{8} \right)$of its original pressure. Final temperature will be (g = 5/3)

• A. 420 k
• B. 300 k
• C. – 142⁰C
• D. 327⁰C

Answer 1

Answer: (C)

– 142⁰C

Answer 2

Use $P_{1}^{1 - \gamma}T_{1}^{\gamma}$= $P_{2}^{1 - \gamma}T_{2}^{\gamma}$

P₂ = $\frac{P_{1}}{8}$ \ T₂ = 300 (2)^–6/5

= $\frac{300}{2^{6/5}}$» 131 K » 142 ⁰C