To find the pressure of the gas at a different volume, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law can be expressed as:
P1 * V1 = P2 * V2
Where: P1 = Initial pressure of the gas V1 = Initial volume of the gas P2 = Final pressure of the gas V2 = Final volume of the gas
Given: P1 = 1.05 atm (initial pressure) V1 = 800 mL (initial volume) V2 = 832 mL (final volume)
We can rearrange the equation to solve for P2:
P2 = (P1 * V1) / V2
Substituting the given values:
P2 = (1.05 atm * 800 mL) / 832 mL
P2 = 0.975 atm
Therefore, the pressure of the gas at 832 mL volume is approximately 0.975 atm.