What is the pressure of nitrogen when cooled to -5oC?

[ar202]

Homework Statement

A cylinder of nitrogen is pressurised to 200 BAR at 25oC
The cylinder is left to cool outside on a winters day to –5oC

What is the pressure of the Nitrogen once it has cooled?

Homework Equations

P1/T1=P2/T2 ?

The Attempt at a Solution

25+273 = 298 Kelvin. 273-5=268 Kelvin.

200/298=0.6711409396

0.6711409396 x 268 = 179 BAR ?

Have i used the relevant equation? Going through some practice questions but can't find the solutions. doh.

cheers

 

[mgb_phys]

You would normally just do
200 * 268/298 = 180Bar

Yes you are correct.