Volume of a given mass of an ideal gas at certain pressure is x at constant temperature. What will be its volume when the pressure is reduced to half:

Explanation

Option B is correct. When the pressure of an ideal gas is reduced to half at a constant temperature, the volume of the gas will double. This relationship is described by Boyle's Law, which states that for a given mass of an ideal gas at constant temperature, the product of pressure (P) and volume (V) is constant (PV = constant). Hence, if the pressure is halved, to maintain the constant product, the volume must double. Therefore, if the initial volume is x, the new volume will be 2x.Option A is incorrect because it suggests the volume reduces to half, which is not in accordance with the principle of gas behavior. Option C is incorrect as it implies that the volume quadruples, which is not true under these conditions. Option D is also incorrect as it indicates a significant reduction in volume, which contradicts the expected increase in volume when pressure decreases.