Given a fixed amount of gas held at constant pressure, calculate the temperature to which the gas would have to be changed if a 3.50 L sample at 23.0^oC were to have a final volume of 1.50 L.

Question

Quizplus · Accepted Answer

The correct answer is C.The ideal gas law states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature. If the pressure and number of moles of gas are held constant, then the volume of the gas is inversely proportional to the temperature. Therefore, if the volume of the gas is decreased by a factor of 2, then the temperature must be increased by a factor of 2. This means that the temperature must be increased from 23.0^oC to 46.0^oC. However, the question asks for the temperature to which the gas would have to be changed, which means that the temperature must be decreased by 46.0^oC. Therefore, the correct answer is (-146^o)C.

Given a Fixed Amount of Gas Held at Constant Pressure