Final answer:
Using the combined gas law, we can calculate the final pressure of a gas when given its initial pressure, volume, temperature, and final volume and temperature. The variables can be rearranged and substituted into the formula to solve for the unknown pressure.
Step-by-step explanation:
The question involves the use of the combined gas law, which states that the pressure, volume, and temperature of a gas are related such that P1V1/T1 = P2V2/T2, where P stands for pressure, V for volume, and T for temperature in Kelvin. Given that a gas at 416 K occupies 5.00 L at a pressure of 2.48 atm and we need to find its pressure at 252 K when its volume is reduced to 4.20 L, we can rearrange this formula to solve for the unknown final pressure (P2).
Now substitute the known quantities into the equation and solve: 2.48 atm × 5.00 L / 416 K = P2 × 4.20 L / 252 K. After calculation, we find the new pressure, P2, which can be rounded to the appropriate number of significant figures based on the values given in the question.