A container holds 1 g of air at atmospheric pressure. When an additional gram of air is pumped into the container and there is no change in temperature, the new pressure is
A) 0.5 atm.
B) 1 atm.
C) 2 atm.
D) 4 atm.

Question

Quizplus · Accepted Answer

The ideal gas law states that PV = nRT, where P is pressure, V is volume, n is the number of moles of the gas, R is the gas constant, and T is the temperature. Since the temperature is constant in this problem, we can simplify this equation to PV = constant.

Initially, there is 1 g of air in the container, so the pressure is the atmospheric pressure (which we can assume to be 1 atm). When an additional gram of air is pumped into the container, the volume remains constant (since the container doesn't change in size), so the new pressure can be calculated by (1+1)P = 2P.

Therefore, the new pressure is 2 atm.

A Container Holds 1 G of Air at Atmospheric Pressure