Question

A piston cylinder holds a 3.00 L volume of air at 350.0 K. The cylinder holds the gas at 3.75 atm pressure.How many moles of air are present in the cylinder under these conditions?__ moles

Answer 1

The number of moles of the gas is 0.39 moles

Step-by-step explanation

Given that

The volume of the cylinder is 3L

The temperature of the gas is 350K

The pressure of the gas is 3.75 atm

Follow the steps below

Assume the gas behaves like an ideal gas

The ideal gas equation is given as

`\text{ PV = nRT}`

`\begin{gathered} \text{ 3.75 }*\text{ 3 = n }*\text{ 0.08205 }*\text{ 350} \\ \text{ 11.25 = 28.7175n} \\ \text{ Divide both sides by 28.7175} \\ \text{ n = }\frac{\text{ 11.25}}{\text{ 28.7175}} \\ \text{ n = 0.39 moles} \end{gathered}`

Therefore, the number of moles of the gas is 0.39 moles