What is the correct way to find the temperature of helium in this scenario?

[Angelina21]

Homework Statement

Helium is kept in a pressure vessel at a pressure of 5.42 bar and the resulting density is 0.92 kg/m³. The gas constant R is 8.314 J/(mol*K). The volume of the vessel is 1589.194 m³. I need to find the temperature of helium in Celsius.

Homework Equations

pressure(Pa)=density(kg/m³)*R*temperature(K)

The Attempt at a Solution

With the formula given, I got the answer of 70000 K which is logically not correct.

 

[gneill]

Hi Angelina21,

Welcome to Physics Forums!

PV = nRT

You can't simply replace n (number of moles) with density. Try expressing n in terms of things you know about helium in general and the helium in this case.

 

[Angelina21]

Hi Angelina21,

Welcome to Physics Forums!

PV = nRT

You can't simply replace n (number of moles) with density. Try expressing n in terms of things you know about helium in general and the helium in this case.

I think I got the answer now. My formula was indeed wrong. Thanks!