Brandon thinks Karen is pretty sharp to be able to predict the changes to the gas pressure with temperature and decides that he too can use the ideal gas law to predict how a gas responds to a change in temperature. He decides instead to predict the change in volume of the gas if the pressure of the gas is held constant rather than the volume as the temperature changes. To do this he sets the simulation in pressure control mode with the temperature set at $100$ K and the pressure set at $8\mathrm{.}31105$ Pa$.$ He then confidently tells Karen that if he increases the temperature of the gas by a factor of $3,$ the volume will increase by this same factor of three since he is keeping the pressure constant. Brandon then calculates the volume of the gas at the two temperatures using the ideal gas law. He runs the simulation for both temperatures in order to check his results.

Brandon finds that