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=(PV)/(RT)`

We replace the known data:

`\begin{gathered} n=(358kPa*14.0L)/(8.31(L.kPa)/(mol.K)*269K) \\ n=(358*14.0)/(8.31*269)mol \\ n=2.24mol \end{gathered}`

Answer: In the sample of gas there are 2.24 moles