To calculate the final pressure of the gas (P2), apply Boyle's Law (P1V1 = P2V2) using the initial conditions. By rearranging the equation and substituting the known values, P2 is found to be 38.75 kPa.
The student's question involves calculating the final pressure (P2) of a gas when the initial pressure (P1), initial volume (V1), and final volume (V2) are known. This scenario is an application of Boyle's Law, which states that for a given mass of an enclosed gas at constant temperature, the product of pressure and volume is constant (P1V1 = P2V2).
To find P2, we can rearrange the equation P1V1 = P2V2 to solve for P2:
P2 = (P1V1) / V2
Substituting the values given:
P2 = (22.5 kPa * 0.155L) / 0.090L
P2 = 3.4875 kPa / 0.090L
P2 = 38.75 kPa (rounded to two decimal places)
The final pressure P2 should be reported with the correct units of measure and rounded according to significant figures, based on the values provided.