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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.

Respuesta :

Answer:

To answer this we use the ideal gas equation:

[tex]\begin{gathered} P.V=n.R.T \\ \\ T=\frac{P.V}{n.R} \end{gathered}[/tex]

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)

[tex]n=\frac{21g}{44\frac{g}{mol}}=0.477\text{ mol}[/tex]

Now we calculate:

[tex]\begin{gathered} T=\frac{2atm.11L}{0.477mol.0.0821\frac{L.atm}{K.mol}} \\ \\ T=562\text{ K=289}\degree C \end{gathered}[/tex]

So the answer is:

The temperature of the gas is 289°C

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