Question

A gas with a pressure of 36atm and a volume of 22.4L is held at 10.0∘C. What will the pressure (in atmospheres) be if the volume increases to 30.0L and the temperature increases to 25.0∘C?

Answer 1

To find the final pressure of the gas when volume and temperature change, the combined gas law equation P1V1/T1 = P2V2/T2 is used, converting temperatures to Kelvin, and rearranging to solve for P2.

Step-by-step explanation:

The homework question is about calculating the final pressure of a gas when its volume and temperature are changed. This can be solved using the combined gas law, which relates the pressure, volume, and temperature of a gas. The combined gas law is P1V1/T1 = P2V2/T2, where P is pressure, V is volume, and T is temperature in Kelvin. The temperatures must be converted from Celsius to Kelvin by adding 273 to the degrees Celsius provided.

For the given problem, we have the initial conditions of P1 = 36 atm, V1 = 22.4 L, and T1 = 10.0 °C (283 K). The final conditions are V2 = 30.0 L and T2 = 25.0 °C (298 K). We are tasked with finding the final pressure P2, keeping in mind that the gas law equation must be rearranged to solve for P2.