Problem: What is the temperature of an 11.2-L sample of carbon monoxide, CO, at 744 torr if it occupies 13.3 L at 55 °C and 744 torr?

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FREE Expert Solution

Recall that the ideal gas law is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The pressure, volume, and temperature of a gas are related to the number of moles of gas and the universal gas constant:

$\frac{\mathbf{PV}}{\mathbf{T}}\mathbf{=}\mathbf{nR}$

The value nR is constant. For a given mole of gas, the initial and final pressure, volume, and temperature of the gas are related by the combined gas law:

$\overline{)\frac{{\mathbf{P}}_{\mathbf{1}}{\mathbf{V}}_{\mathbf{1}}}{{\mathbf{T}}_{\mathbf{1}}}{\mathbf{=}}\frac{{\mathbf{P}}_{\mathbf{2}}{\mathbf{V}}_{\mathbf{2}}}{{\mathbf{T}}_{\mathbf{2}}}}$

Solve for T2:

Problem Details

What is the temperature of an 11.2-L sample of carbon monoxide, CO, at 744 torr if it occupies 13.3 L at 55 °C and 744 torr?