Question

What is the pressure in a 19.1 L cylinder filled with 0.684 mol of nitrogen gas at a temperature of 326 K ?

Answer 1

The hydrogen sample has a pressure of 0.957 atmospheres.

Step-by-step explanation:

Let consider that the hydrogen sample behaves ideally, the equation of state for ideal gases is:

`P\cdot V = n\cdot R_(u)\cdot T` (1)

Where:

`P` - Pressure, in atmospheres.

`V` - Volume, in liters.

`n` - Molar quantity, in moles.

`T` - Temperature, in Kelvin.

`R_(u)` - Ideal gas constant, in atmosphere-liters per mole-Kelvin.

If we know that
`V = 19.1\,L`,
`n = 0.684\,mol`,
`T = 326\,K` and
`R_(u) = 0.082\,(atm\cdot L)/(mol\cdot K)`, then the pressure of the hydrogen sample is:

`P = (n\cdot R_(u)\cdot T)/(V)`

`P = ((0.684\,mol)\cdot \left(0.082\,(atm\cdot L)/(mol\cdot K) \right)\cdot (326\,K))/(19.1\,L)`

`P = 0.957\,atm`

The hydrogen sample has a pressure of 0.957 atmospheres.