785cm3 of air at 500mmHg and 45C was compressed to a volume of 400cm3 at 73C calc the new pressure

To solve this problem, we can use the combined gas law which states that the ratio of the product of pressure and volume to the temperature of a system remains constant. The formula is:

P1V1/T1 = P2V2/T2

Where: P1 = initial pressure V1 = initial volume T1 = initial temperature P2 = final pressure V2 = final volume T2 = final temperature

Given in the problem: P1 = 500 mmHg V1 = 785 cm^3 T1 = 45 C = 45 + 273.15 = 318.15 K (converted from Celsius to Kelvin) V2 = 400 cm^3 T2 = 73 C = 73 + 273.15 = 346.15 K (converted from Celsius to Kelvin)

We are asked to find P2.

Substituting the given values into the combined gas law formula, we get:

500 * 785 / 318.15 = P2 * 400 / 346.15

Solving for P2, we get:

P2 = (500 * 785 * 346.15) / (400 * 318.15) = 1071.4 mmHg

So, the new pressure is approximately 1071.4 mmHg.