What is the final pressure of argon gas after isochoric heating?

[kristibella]

Homework Statement

0.54 mol of argon gas is admitted to an evacuated 90 cm³ container at 10 ^o C. The gas then undergoes an isochoric heating to a temperature of 400 ^oC.

What is the final pressure of the gas (in kPa)?

Homework Equations

PV = nRT

The Attempt at a Solution

P(9.0x10^-5 m³) = (.54 mol)(8.314 m³Pa/K mol)(673 K)
P = 33,571,932 Pa = 33,571.932 kPa

This number just seems way too large to me, which is why I'm questioning it. Thanks for any help you can provide!

 

[chemisttree]

Convert it to atmospheres or psi if you want...

 

[Borek]

That's a correct answer. 90 mL for half a mole of gas is a pretty small volume even at room temperature (remember at STP it should occupy about 12L).