Question

An unknown quantity of methane gas, CHA, is held in a 2.00-liter container at 77°C. The pressure inside the container is 3.00 am. How many moles of methane must be in the container?

Answer 1

Answer:

$0.21\text{ mol}$

Explanation:

Here, we want to calculate the number of moles of methane in the container

From the ideal gas law:

$\begin{gathered} PV\text{ = nRT} \\ n\text{ = }\frac{PV}{RT} \end{gathered}$

where:

P is the pressure inside the container which is 3 atm

V is the volume of the container which is 2 L

R is the molar gas constant which is 0.0821 Latm/mol.k

T is the temperature in Kelvin (we convert the temperature in Celsius by adding 273 : 273 + 77 = 350 K)

n is the number of moles that we want to calculate

Substituting the values, we have it that:

$n=\text{ }\frac{3\times2}{0.0821\text{ }\times350}\text{ = 0.21 mol}$