Question

What are the moles of gas are in a 30 liter scuba canister if the temperature of the canister is 300 K and the pressure is 200 atmospheres?

Answer 1

`n = 243.605`

Step-by-step explanation:

Given

`P = 200atm` -- Pressure

`T = 300k` --- Temperature

`V = 30L` --- Volume

Required

Determine the number of moles

This question will be solved using ideal gas law which states:

`pV = nRT`

Make n the subject:

`n = (pV)/(RT)`

Where

`R = 0.0821 L\ atm/(mol\ K)`

Substitute values for p, V, R and T in:

`n = (pV)/(RT)`

`n = (200 * 30)/(0.0821 * 300)`

`n = (6000)/(24.63)`

`n = 243.605` -- approximated

Hence, there are 243.605 moles