Question

If gas has a volume of 816 liters and a temperature of 786K and is 104 moles , what is the new pressure ?

Answer 1

The pressure of the gas is 8.21 atm

EXPLANATION;

Given that;

The volume of the gas is 816 liters

The temperature of the gas is 786 K

The number of moles of the gas is 104 moles

Follow the steps below to find the pressure of the gas

Step 1; Assume the gas behaves like an ideal gas, then, the pressure of the gas can be calculated using the ideal gas equation

`\text{ PV = nRT}`

Step 2; Substitute the given data into the formula above

`\begin{gathered} \text{ R is 0.08205 L atm mol}^(-1)\text{ K}^(-1) \\ \text{ P }*\text{ 816 = 104 }*\text{ 786 }*\text{ 0.08205} \\ \text{ 816 P = 6707.0952} \\ \text{ Divide both sides by 816} \\ \text{ }\frac{\cancel{816}P}{\cancel{816}}\text{ = }\frac{6707,\text{ 0952}}{816} \\ \text{ P = 8.21 atm} \end{gathered}`

Hence, the pressure of the gas is 8.21 atm