Question

Calculate the temperature of `4.0 mol` of a gas occupying `5 dm^(3)` at 3.32 bar.
Strategy : List the variables with the proper units. Then solve the ideal gas equation for `T` by substituting the values.

Answer 1

According the ideal gas equation, `PV = n RT` or `T = (PV)/(nR)`
According to available data :
No. of moles of the gas `(n) = 4.0` moles
Volume of the gas `(V) = 5 dm^(3)`
Pressure of the gas `(P) = 3.32 "bar"`
Gas constant `(R) = 0.083 "bar" dm^(3) K^(-1) mol^(-1)`
`T = ((3.32 "bar") xx (5 dm^(3)))/((4.0 "moles") xx (0.083 "bar" dm^(3) K^(-1) mol^(-1))) = 50 K`.