States of Matter 1 Question 28
28. At constant volume, for a fixed number of moles of a gas the pressure of the gas increases with rise of temperature due to
(a) increase in average molecular speed
(1992, 1M)
(b) increase rate of collisions amongst molecules
(c) increase in molecular attraction
(d) decrease in mean free path
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Solution:
- Average speed $=\sqrt{\frac{8 R T}{\pi M}}$
i.e. at constant volume, for a fixed mass, increasing temperature increases average speeds and molecules collide more frequently to the wall of container leading to increase in gas pressure.
