1. The ideal gas law (PV=nRT) provides relationships among pressure, volume, amo

Question

1.      The ideal gas law (PV=nRT) provides relationships among pressure, volume, amount, and temperature of a gas inside a container.  If the Kelvin temperature in a container is doubled, which of the following changes may occur?

A. .One-half of the amount of gas   is removed from the container.

B. The volume is doubled and the   pressure is halved while no more gas is added to the container.

C. The volume is halved and the   pressure is doubled while no more gas is added to the container.

D. The volume and the pressure are   both doubled while no more gas is added to the container.

E. The volume and the pressure are   both halved while no more gas is added to the container.

A. .One-half of the amount of gas   is removed from the container.

B. The volume is doubled and the   pressure is halved while no more gas is added to the container.

C. The volume is halved and the   pressure is doubled while no more gas is added to the container.

D. The volume and the pressure are   both doubled while no more gas is added to the container.

E. The volume and the pressure are   both halved while no more gas is added to the container.

Explanation / Answer

pV = nRT

If T_2 = 2*T_1, then p_2 * V_2 = n_2*R*T_2 = n_2*R*(2*T_1) = 2*(n_2 / n_1)*(n_1*R*T_1) = 2*(n_2 / n_1)*p_1*V_1

If half of gas is removed from container, pressure and volume should remain same, but no. of moles gets halved, that is, n_2/n_1 = 0.5, so that p_2*V_2 = p_1*V_1

So, option (A) is correct.

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