Question

StT 12.2 a sample of ideal gas law is in a sealed container. The tmp of the gas and the volume of the container are both increased. what other properties of the gas necessarily change( more than one answer might be correct)

A A the rms of speed of the gas atom
B thermal energy of the gas
C the pressure of the gas
D the number of molecules in a gas

Answer 1

With an increase in both temperature and volume of an ideal gas in a sealed container, the rms speed and thermal energy of the gas will necessarily increase; the pressure may change depending on the relative changes, but the number of molecules in the gas will remain unchanged.

Step-by-step explanation:

When an ideal gas in a sealed container experiences an increase in temperature and volume, certain properties of the gas will necessarily change. According to the kinetic molecular theory of gases and Amontons's law:

• The rms (root-mean-square) speed of the gas atoms will increase because the temperature is directly proportional to the average kinetic energy of the molecules, which itself is related to the square of the rms speed.
• The thermal energy of the gas will also increase because the thermal energy is the total kinetic energy of all molecules, which increases with the increase in temperature.
• The pressure may or may not change definitively without additional information on the relative changes in temperature and volume. According to Charles's law, while an increase in temperature tends to increase pressure, an increase in volume tends to decrease the pressure, and if both are changing simultaneously, the final effect on pressure depends on the quantitative changes in temperature and volume.

The number of molecules in the gas remains constant as the container is sealed.