Question

Please help How many moles of a gas sample are in 14.0 L container at 269 K and 358 kPa? The gas constant is 8.31 L kPa/ mol K Round you answer to one decimal place and enter the number only with no units.

Answer 1

We are going to assume that the gas mentioned behaves like an ideal gas. The equation that describes the behavior of an ideal gas is as follows:

$PV=nRT$

Where,

P is the pressure of the gas, 358kPa

V is the volume of the gas, 14.0L

R is the gas constant, 8.31 L kPa/mol K

T is the temperature of the gas, 269K

Now, we will clear the number of moles, n.

$n=\frac{PV}{RT}$

We replace the known data:

$\begin{gathered} n=\frac{358kPa\times14.0L}{8.31\frac{L.kPa}{mol.K}\times269K} \\ n=\frac{358\times14.0}{8.31\times269}mol \\ n=2.24mol \end{gathered}$

Answer: In the sample of gas there are 2.24 moles