For an ideal gas with fixed n and V, what happens to P when the temperature increases?

For an ideal gas with fixed n and V, what happens to P when the temperature increases?

• A. It increases proportionally to Temperature
• B. It increases with Volume
• C. It remains constant
• D. It decreases as Temperature increases

Answer: (A)

When n and V are fixed, pressure changes directly with temperature. From PV = nRT, solve for P to get P = (nR/V) T. The factor (nR/V) is constant, so P increases linearly as T increases. Physically, hotter gas means faster-moving molecules that collide with the container walls more forcefully, raising the pressure. So as temperature goes up, pressure goes up proportionally.

When n and V are fixed, pressure changes directly with temperature. From PV = nRT, solve for P to get P = (nR/V) T. The factor (nR/V) is constant, so P increases linearly as T increases. Physically, hotter gas means faster-moving molecules that collide with the container walls more forcefully, raising the pressure. So as temperature goes up, pressure goes up proportionally.