Question

a sample of methane gas (ch4) with a mass of 58 g is kept in a 1.5 L container at a temperature of 373 K. what is the pressure of the gas?

Answer 1

Given :

A sample of methane gas (CH₄) with a mass of 58 g is kept in a 1.5 L container at a temperature of 373 K.

To Find :

The pressure of the gas.

Solution :

Moles of methane :

`n = (58\ gram)/(16\ gram/mol) \\\\n = 3.625\ moles`

We know, by ideal gas equation :

PV = nRT

Here, R is ideal gas equation,
`R = 0.082 \ L \ atm\ mol^(-1) \ K^(-1)`

So,

`P = (nRT)/(V)\\\\P = (3.625* 0.082 * 373)/(1.5)\ atm\\\\P = 73.92 \ atm`

Hence, this is the required solution.