# A rigid cylinder with a movable piston contains 500 liters of a gas at 30.0 C with a pressure of 1.00 atmosphere. What is the volume of the gas in the cylinder at STP?

##### 1 Answer

The volume of gas in the cylinder is 456 L.

#### Explanation:

This is an example of a Combined Gas Laws problem.

#color(blue)(bar(ul(|color(white)(a/a)(p_1V_1)/T_1 = (p_2V_2)/T_2color(white)(a/a)|)))" "#

We can rearrange this formula to get

#V_2 = V_1 × p_1/p_2 × T_2/T_1#

STP is defined as 1 bar and 0 °C.

We should therefore convert your original pressure of 1.00 atm to bars.

Your data are then:

∴

The volume is 456 L.