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.