Question

A sample of oxygen gas at 294 K exerts 3.55 atm of pressure on its 32.0 L container. How many moles of O2 are in the sample? The ideal gas constant is 0.0821 L*atm/mol*K. Round your answer to the nearest 0.01 and include correct units

Answer 1

The moles of O2 in the sample = 4.71 mol

Step-by-step explanation

Given:

Temperature, T = 294 K

Pressure, P = 3.55 atm

Volume, V = 32.0 L

The ideal gas constant, R = 0.0821 L*atm/mol*K

What to find:

The number of moles, n of O2 in the sample.

Solution:

The number of moles, n of O2 in the sample can be calculated using the ideal gas equation.

`\begin{gathered} PV=nRT \\ \\ \Rightarrow n=(PV)/(RT) \end{gathered}`

Plugging the values of the parameters into the formula, we have;

`n=(3.55atm*32.0L)/(0.0821L*atm/mol*K*294K)=4.71\text{ }mol`

The number of moles, n of O2 in the sample = 4.71 mol