Question

When a sample of oxygen gas in a closed container of constant volume is heated until its absolute temperature is doubled, which of the following is also doubled?
a. density
b. pressure
c. average velocity
d. number of molecules
e. potential energy

Answer 1

Answer: b. pressure

Explanation:

Gay-Lussac's Law: This law states that pressure is directly proportional to the temperature of the gas at constant volume and number of moles.

$P\propto T$     (At constant volume and number of moles)

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

where,

$P_1$ = initial pressure of gas  = p

$P_2$ = final pressure of gas  = ?

$T_1$ = initial temperature of gas  = t

$T_2$ = final temperature of gas = 2t

$\frac{p}{t}=\frac{P_2}{2t}$

$P_2=2p$

Thus the pressure also doubles when absolute temperature is doubled.