Question

Calculate the approximate volume of a 0.600 mol sample of gas at 15 °C and a pressure of

1.0 atm.

Answer 1

1) List known values.

sample: 0.600 mol

Pressure: 1.0 atm

Temperature: 15ºC

Constant: 0.082057 L⋅atm⋅K−1⋅mol−1

List unknown values

Volume:

2) Set the equation and solve for V.

`PV=\text{nRT}`
`(PV)/(P)=(nRT)/(P)`
`V=(nRT)/(P)`

3) Converting to proper units.

15ºC + 273.15 = 288.15 K

4) Plug in known values.

n: 0.600 mol

R: 0.082057 L⋅atm⋅K−1⋅mol−1

T: 288.15 K

P: 1.0 atm

`V=\frac{(0.600\text{mol)}(0.082057L\cdot\text{atm}\cdot K^(-1)\cdot mol^(-1))(288.15\text{ K)}}{1.0\text{ atm}}=14.18683\text{ L}`

The sample will occupy a volume of 14.19 L.