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?
The volume of gas in the cylinder is 456 L.
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.