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.

Respuesta :

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.

Explanation:

From the ideal gas equation,

[tex]PV=\text{nRT}[/tex]

Where n is the moles of the gas present.

On substituting the known values,

[tex]\begin{gathered} 370\times5.0=n8.31\times251 \\ \Rightarrow n=\frac{370\times5.0}{8.31\times251} \\ =0.9\text{ mol} \end{gathered}[/tex]

Final answer:

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