A thermally insulated vessel with nitrogen gas at 27^ ^ ^ C is moving with a velocity of 100 ~ms^ -1 . If the vessel is stopped suddenly, then the percentage change in the pressure of the gas is nearly (assume entire

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Correct answer: D. 2.25

Let there are n moles of N_2 gas in the cylinder. Assuming all of K, E appears in form of heat, n((1)/(2) M v^2)=(f)/(2) n R Δ T Here, M=28 ~g=28 × 10^ -3 ~kg, f=5 Increment in pressure due to change of temperature is Also, Δ p=(n R Δ T)/(V) So, (Δ p)/(p)=(((n R Δ T)/(V)))/(((n R T)/(V)))=(n R Δ T)/(n R T) (Δ p)/(p)=(n M v^2)/(f n R T)=(M v^2)/(f R T) So, percentage change in pressure is, (Δ p)/(p) × 100= 28 × 10^ -3 × 100 × 100 5 × 8.3 × 300 × 100=2.25 \%

A thermally insulated vessel with nitrogen gas at 27^ ^ ^ C is...

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