A sample of 1.0 mol of gas is stored under a pressure of 10.0 atm and kept at a controlled temperature of 200 K. What volume of gas is in the sample?

A sample of 1.0 mol of gas is stored under a pressure of 10.0 atm and kept at a controlled temperature of 200 K. What volume of gas is in the sample?

1 Answer
Feb 28, 2018

The volume of the gas is 1.6 liters.

Explanation:

To solve this problem, we need to use the ideal gas law:

#PV=nRT#

#P# is pressure in atmospheres, #V# is volume in liters, #n# is moles, #R# is the universal gas constant, and #T# is the temperature in Kelvins.

Plug the known values into the equation and solve for the volume.

#(10.0)(V)=(1.0)(0.08206)(200)#

#V=((1.0)(0.08206)(200))/(10.0)=1.6# liters