Question

1. the temperature of a gas in a rigid metal container is increased from 200 k to 400 k. which of the following is the effect of this change on the other three variables used to describe the behavior of a gas? the gas pressure doubles while the volume and mass remain constant. the pressure and volume of the gas doubles while the mass remains constant. the volume of the gas is halved while the pressure and the mass remain constant. the mass and volume of the gas is halved while the pressure remains constant.

Explanation:

The problem is about gas behavior in a rigid (constant volume) container with constant mass. Using the ideal gas law \( \frac{P_1V_1}{n_1T_1}=\frac{P_2V_2}{n_2T_2} \), since \( V \) (volume) and \( n \) (related to mass, constant here) are constant, \( \frac{P}{T} \) is constant. Temperature \( T \) doubles from 200 K to 400 K, so pressure \( P \) must double. The first option states pressure doubles with volume and mass constant, which matches.

Answer:

The gas pressure doubles while the volume and mass remain constant.