1. Calculate the volume occupied by 1 mole of carbon dioxide at 27^circ C and 100 mmHg.

To calculate the volume occupied by 1 mole of carbon dioxide at $27^{\circ }C$ and 100 mmHg, we can use the ideal gas law equation:<br /><br />PV = nRT<br /><br />Where:<br />P = Pressure (in atm)<br />V = Volume (in L)<br />n = Number of moles<br />R = Ideal gas constant (0.0821 L·atm/mol·K)<br />T = Temperature (in K)<br /><br />Given:<br />n = 1 mole<br />T = $27^{\circ }C$ = 300.15 K (converted from Celsius to Kelvin)<br />P = 100 mmHg = 0.1319 atm (converted from mmHg to atm)<br /><br />Substituting the values into the ideal gas law equation:<br /><br />PV = nRT<br />V = (nRT) / P<br />V = (1 mol × 0.0821 L·atm/mol·K × 300.15 K) / 0.1319 atm<br />V = 18.97 L<br /><br />Therefore, the volume occupied by 1 mole of carbon dioxide at $27^{\circ }C$ and 100 mmHg is approximately 18.97 liters.