Final answer:
The student's question involves using Boyle's Law to calculate the new volume of a gas when the pressure changes. The formula P1 × V1 = P2 × V2 is used, where the initial volume and pressure are known, and the final pressure is given. By rearranging and substituting into the formula, the new volume can be determined.
Step-by-step explanation:
The question involves applying the Boyle's Law, which states that for a fixed amount of an ideal gas at a constant temperature, the volume of the gas is inversely proportional to its pressure. The law can be mathematically expressed as P1 × V1 = P2 × V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, respectively.
In this case, a gas sample with initial conditions (pressure P1 = 77.8 kPa and volume V1 = 344 cm³) is subjected to a pressure change to P2 = 23.35 kPa. To find the new volume V2, we can rearrange the equation to V2 = (P1 × V1) / P2. Substituting the known values, V2 = (77.8 kPa × 344 cm³) / 23.35 kPa. After performing the calculation, we obtain the final volume.