212k views
1 vote
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.

Please help How many moles of a gas sample are in 5.0 L container at 215 K and 342 kPa-example-1

1 Answer

5 votes

Answer

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.

User Rdmolony
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.