Chemistry problem about gas laws

Question

Determine the temperature of the gas that has the following properties:

R = 0.08205 L•atm/mol•K.

P = 2.07 atm

V = 32.8 L

n = 2.88 mol

I know the formula is R=(L.atm)/(mol.K) but i know the R and it is the same value has it is in the equation. Do i replace the R with that value and then they will cut each other?

Answer 1

It sounds like you're on the right track. You'll want to use the ideal gas law PV=nRT and solve for T.

First divide PV/Rn=T. Now you can check the units:

[(atm)(L)] / [(mol)(L•atm/°K•mol)] rearranging the units from the denominator of R yeilds

= [(atm)(L)(°K•mol)] / [(mol)(L•atm)] all of these units cancel except for temp in °K

= [(atm)(L)(°K•mol)] / [(mol)(L•atm)] Thus we are left with the units of our answer:

=°K