Question

If I have 6.5 liters of gas in a piston at a pressure of 5.1 atm and compress the gas until its volume is 4.4 L, what will the new pressure inside the piston be?

Answer 1

This problem can be solved using Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is constant. The formula for Boyle's Law is P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Using the formula:

P1V1 = P2V2

where P1 = 5.1 atm, V1 = 6.5 L, and V2 = 4.4 L, we can solve for P2:

P2 = (P1 x V1) / V2

P2 = (5.1 atm x 6.5 L) / 4.4 L

P2 = 7.57 atm

Therefore, the new pressure inside the piston will be 7.57 atm (rounded to two decimal places).