A monatomic gas at 2 7 ∘ C is suddenly compressed to 27 1 of its volume. Find the final temperature in °C (nearest integer).

Sudden compression is adiabatic: T 2 = T 1 ( V 2 V 1 ) γ − 1 = 300 × 2 7 3 2 = 2700 K. That is 242 7 ∘ C.

Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKinetic Theory of Gases and Gas LawsHard2 minQB

PhysicsHardnumerical

A monatomic gas at $2 7^{\circ}$ C is suddenly compressed to $\frac{1}{27}$ of its volume. Find the final temperature in °C (nearest integer).

Answer:

2427.00

Solution:

Sudden compression is adiabatic: $T_{2} = T_{1} (\frac{V _{1}}{V _{2}})^{γ - 1} = 300 \times 2 7^{\frac{2}{3}} = 2700$ K. That is $242 7^{\circ}$ C.

Subject:PhysicsTopic:Heat & ThermoSubtopic:Kinetic Theory of Gases and Gas Laws

⏱ 2mℹ️ Source: QB

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