If 42.5 mol of an ideal gas is at 8.77 atm and 439 K, what is the volume of the gas?

2 Answers
Feb 28, 2018

Well, is not PV=nRTPV=nRT?

Explanation:

And so ...V=(nRT)/PV=nRTP

=(42.5*molxx0.0821*(L*atm)/(K*mol)xx439*K)/(8.77*atm)=42.5mol×0.0821LatmKmol×439K8.77atm

=??*L=??L...I make this approx. 175*L175L...

Feb 28, 2018

The volume of the gas is 175175 liters.

Explanation:

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

PV=nRTPV=nRT

PP is pressure in atmospheres, VV is volume in liters, nn is moles, RR is the universal gas constant, and TT is the temperature in Kelvins.

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

(8.77)(V)=(42.5)(0.08206)(439)(8.77)(V)=(42.5)(0.08206)(439)

V=((42.5)(0.08206)(439))/(8.77)=175V=(42.5)(0.08206)(439)8.77=175 liters