To compress nitrogen at 1 atm from 750 mL to 500 ml, what must the new pressure be if the temperature
is kept constant.

The new pressure if the temperature is kept constant is 1.5 atm

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

where,

are initial pressure and volume.

are final pressure and volume.

We are given:

Putting values in above equation, we get:

Thus new pressure if the temperature is kept constant is 1.5 atm