Question

In an ideal gas at temperature T, the average force that a molecules applies on the walls of a closed container depends on T as $T^q$. As good estimate for q is.

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. 1
• D. 2

Answer 1

The correct option is C 1

$P=\frac{nM}{3V}{v}_{rms}^2$
Thus pressure $P\propto v_{rms}^2$
and thus
Force $\propto v_{rms}^2\propto T$