gas laws assessment

Question

A sample of oxygen gas that occupies 235.0 mL at 105.63 kpa is subjected to a pressure of 0.872 atm. What will the final volume of the sample be if the temperature is held constant?

Answer 1

From the ideal gas law, if amount of gas and temperature are the same, then P₂V₂ = P₁V₁ and V₂ = P₁V₁ / P₂. The pressures are in different units; 1 atm = 101.3 kPa, so P₂ = 88.33 kPa. V₂ = (105.63 kPa) * (235.0 mL) / ( 88.33 kPa) = 281.0 mL.