Question

What is the pressure of 50.0 moles of oxygen gas confined in a 1000L cylinder at 25 Celsius

Answer 1

Step 1 - Finding an equation to solve the problem

For a gas, temperature, volume and pressura are importante variables. They are related with the number of moles of gas by the following equation:

$pV=\text{nRT}$

In this equation, R is the universal gas constant, which is 0.082 L.atm/mol.K

Step 2 - Substituting the values on the equation

From the exercise, we know that:

$\begin{gathered} p=\text{?} \\ \\ V=1000L \\ \\ n=50\text{ moles} \\ \\ T=25\degree C\text{ (298 K)} \end{gathered}$

Substituting these values on the equation, we obtain thus:

$1000p=0.082\times298\times50$

Working on the math, we have:

$p=\frac{1221}{1000}=1.22\text{ atm}$

The pressure will be thus 1.22 atm.