A quantity of 10 g of an ideal gas is expanded at constant temperature until its pressure becomes half of the initial pressure. The quantity of 1.25 g of the rarefied gas occupies 50 ml at the same fi

Question

A quantity of 10 g of an ideal gas is expanded at constant temperature until its pressure becomes half of the initial pressure. The quantity of 1.25 g of the rarefied gas occupies 50 ml at the same final pressure and temperature. The initial volume of the gas was [4]

Prashant Kotian · Accepted Answer

Correct answer: A. At the final state, 1.25 g of gas occupies 50 ml. Therefore, the total 10 g of gas occupies V_final = 50 * (10 / 1.25) = 400 ml. Since the pressure was halved at constant temperature, the volume must have doubled: V_final = 2 * V_initial => V_initial = 400 / 2 = 200 ml. [4]

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