Which statement is true about gas behavior in a rigid container?

Which statement is true about gas behavior in a rigid container?

• A. Increasing temperature increases pressure
• B. Temperature has no effect on pressure
• C. Increasing temperature decreases pressure
• D. Pressure depends only on gas identity

Answer: (C)

In a rigid container the volume stays the same, so pressure changes directly with temperature. As temperature rises, gas molecules move faster and collide with the container walls more forcefully and more often, increasing the pressure. This is captured by P = nRT / V: with n and V fixed, pressure grows as temperature increases. So the true statement is that increasing temperature increases pressure. The other ideas don’t fit: temperature does affect pressure, so saying there’s no effect is incorrect; claiming temperature rise would lower pressure contradicts the direct relationship between P and T at constant volume; and saying pressure depends only on the gas identity ignores that, at fixed amount of gas and fixed volume, pressure also depends on temperature.

In a rigid container the volume stays the same, so pressure changes directly with temperature. As temperature rises, gas molecules move faster and collide with the container walls more forcefully and more often, increasing the pressure. This is captured by P = nRT / V: with n and V fixed, pressure grows as temperature increases. So the true statement is that increasing temperature increases pressure.

The other ideas don’t fit: temperature does affect pressure, so saying there’s no effect is incorrect; claiming temperature rise would lower pressure contradicts the direct relationship between P and T at constant volume; and saying pressure depends only on the gas identity ignores that, at fixed amount of gas and fixed volume, pressure also depends on temperature.