Question

A sealed gas cylinder is left outside on a hot, sunny day. What happens to the average speed of the gas molecules and to the pressure of the gas in the cylinder as the temperature of the gas rises?

	Average speed of gas molecules	Pressure of gas in cylinder
A	Decreases	Decreases
B	Decreases	Increases
C	Increases	Decreases
D	Increases	Increases

• A. A
• B. B
• C. C
• D. D

Answer 1

The correct option is D D

According to the pressure law, For a fixed mass of gas at constant volume, pressure is directly proportional to temperature.

$P\propto T$

And average speed of gas molecule is also directly proportional to square root of temperature, by the relation,

${\mu }_{average}=\sqrt{\frac{8RT}{M}}$

So, the correct answer is option '$D$'.