Question

As the temperature increases, average kinetic energy of molecules increases. What would be the effect of increase of temperature on pressure provided the volume is constant?

• A. remains same
• B. becomes half
• C. increases
• D. decreases

Answer 1

The correct option is C increases

$\text{Analysing Gay lussac’s law}$

As the temperature is increased the average kinetic energy of molecules increases. This increases the frequency of collisions of gas molecules with the container and the force of collision with the container also got increased due to higher kinetic energy. Hence, the pressure of the gas also increases.

Moreover, Gay lussac’s law states that at constant volume, pressure of a fixed amount of a gas varies directly with the temperature.

$\Rightarrow P\propto T$

$\Rightarrow P=KT$, where $K=$ constant

Thus, pressure of the gas increases with the increase in temperature at constant volume.