A thermally insulated vessel of nitrogen ( M = 0.028 kg/mol, γ = 1.4 ) at 2 7 ∘ C moves at 80 m s − 1 and stops suddenly. By what percentage does the gas pressure rise (two decimals)?

Δ T = 2 R M v 2 ( γ − 1 ) = 2 × 8.314 0.028 × 6400 × 0.4 = 4.311 K. At constant volume P Δ P = T Δ T = 1.44% .

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PhysicsHeat & ThermoThermodynamics Laws & Specific Heats of GasesHard2 minQB

PhysicsHardnumerical

A thermally insulated vessel of nitrogen ( $M = 0.028$ kg/mol, $γ = 1.4$ ) at $2 7^{\circ}$ C moves at 80 m $s^{- 1}$ and stops suddenly. By what percentage does the gas pressure rise (two decimals)?

Answer:

1.44

Solution:

$Δ T = \frac{M v ^{2} ( γ - 1 )}{2 R} = \frac{0.028 \times 6400 \times 0.4}{2 \times 8.314} = 4.311$ K. At constant volume $\frac{Δ P}{P} = \frac{Δ T}{T} = 1.44%$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics Laws & Specific Heats of Gases

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