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A vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g/mol) is moving on a floor at a speed of 50 m/s. The vessel is stopped suddenly. Assuming that the mechanical energy lost has gone into the internal energy of the gas, find the rise in its temperature.

A vessel containing one mole of a monatomic ideal gas (molecular weight = 20 g/mol) is moving on a floor at a speed of 50 m/s. The vessel is stopped suddenly. Assuming that the mechanical energy lost has gone into the internal energy of the gas, find the rise in its temperature.

Grade:10

2 Answers

Navjyot Kalra
askIITians Faculty 654 Points
9 years ago
Sol. N = 1 mole, W = 20 g/mol, V = 50 m/s K.E. of the vessel = Internal energy of the gas = (1/2) mv^2 = (1/2) × 20 × 10^–3 × 50 × 50 = 25 J 25 = n 3/2 r (∆T) ⇒ 25 = 1 * 3/2 * 8.31 * ∆T ⇒ ∆T = 50/3 * 8.3 = 2 k.
Kevin Nash
askIITians Faculty 332 Points
9 years ago
Sol. 1. N = 1 mole, W = 20 g/mol, V = 50 m/s K.E. of the vessel = Internal energy of the gas = (1/2) mv^2 = (1/2) × 20 × 10^–3 × 50 × 50 = 25 J 25 = n 3/2 r (∆T) ⇒ 25 = 1 * 3/2 * 8.31 * ∆T ⇒ ∆T = 50/3 * 8.3 = 2 k.

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