Question

There is 21.0 g of carbon dioxide gas stored in a cylinder with a volume of 11.0 L. A pressure gauge shows the pressure to be 2.00 atm. R=0.0821 L·atm/(mol·K)In degrees Celsius, determine the temperature of the gas.Round your answer to a whole number.

Answer 1

To answer this we use the ideal gas equation:

`\begin{gathered} P.V=n.R.T \\ \\ T=(P.V)/(n.R) \end{gathered}`

Where:

P is the pressure of the gas (2 atm)

V is the volume of the container (11L)

R is the ideal gas constant (0.0821 L.atm/K.mol)

T is the temperature of the gas

n is the number of moles.

To determine the number of moles we use the carbon dioxide molar mass (44 g/mol)

`n=(21g)/(44(g)/(mol))=0.477\text{ mol}`

Now we calculate:

`\begin{gathered} T=(2atm.11L)/(0.477mol.0.0821(L.atm)/(K.mol)) \\ \\ T=562\text{ K=289}\degree C \end{gathered}`

So the answer is:

The temperature of the gas is 289°C