Question

How many moles of a gas sample are in a 5.0 L container at 251 K and 370 kPa?(The gas constant is8.31L kPamol K)Round your answer to one decimal place and enter the number only with no units.

Answer 1

Given:

The volume of the gas, V=5.0 L

The temperature of the gas, T=251 K

The pressure of the gas, P=370 kPa

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

To find:

The moles of the gas sample.

Step-by-step explanation:

From the ideal gas equation,

`PV=\text{nRT}`

Where n is the moles of the gas present.

On substituting the known values,

`\begin{gathered} 370*5.0=n8.31*251 \\ \Rightarrow n=(370*5.0)/(8.31*251) \\ =0.9\text{ mol} \end{gathered}`

Final answer:

The moles of the gas present in the sample is 0.9 mol