Question

Please help How many moles of a gas sample are in 5.0 L container at 215 K and 342 kPa(The gas constant is 8.31 L kPa/mol K) Round your answer to one decimal place and enter the number only with no units.

Answer 1

1.0 mol

Step-by-step explanation

Given:

Volume, V = 5.0 L

Temperature, T = 215 K

Pressure, P = 342 kPa

The gas constant, R = 8.31 L kPa/mol K

What to find:

The number of moles of the gas sample.

Step-step-solution:

The number of moles of the gas can be determine using the ideal gas equation formula:

`PV=nRT`

Put the given values into the formula and calculate for n:

`\begin{gathered} 342*5.0=n*8.31*215 \\ 1710=1786.65n \\ \text{Divide both sides by 1786.65} \\ (1710)/(1786.65)=(1786.65n)/(1786.65) \\ n=0.9571\text{ mol} \\ To\text{ one decimal place,} \\ n=1.0\text{ mol} \end{gathered}`

The number of moles of the gas sample is 1.0 mol.