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The ideal gas law states that the pressure P, volume V , and temperature T of a gas are related by

PV = NkT

where N is the number of molecules of gas, and k is Bolzmann's constant, about 1.38 10^-23 J/K where J is Joules and K is Kelvins. Say that I have 10^24 molecules of gas. The gas begins at a pressure of 200 kPa, inside a 100 cm^3 container, and at a temperature of 400K.

1. Say that I hold the temperature fixed at 400K and begin to decrease the volume of the container at a rate of 10 cm^3/s. At what rate is the pressure changing?

2. What if instead the pressure is kept fixed at 200 kPa, and the gas is cooled at a rate of -2K/s. At what rate is the volume changing?

This is what I've got:

Does this seem correct? Comments? Corrections?

PV = NkT

where N is the number of molecules of gas, and k is Bolzmann's constant, about 1.38 10^-23 J/K where J is Joules and K is Kelvins. Say that I have 10^24 molecules of gas. The gas begins at a pressure of 200 kPa, inside a 100 cm^3 container, and at a temperature of 400K.

1. Say that I hold the temperature fixed at 400K and begin to decrease the volume of the container at a rate of 10 cm^3/s. At what rate is the pressure changing?

2. What if instead the pressure is kept fixed at 200 kPa, and the gas is cooled at a rate of -2K/s. At what rate is the volume changing?

This is what I've got:

Does this seem correct? Comments? Corrections?

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