Q: If the temperature is constant, what change in volume would cause the pressure of an enclosed gas to be reduced to one quarter of its original value?

I think if the chance in volume increases, the pressure of the gas decreases.

Q: Assuming the gas in a contain remains at a constant temperature, how could you increase the gas pressure in the container a hundredfold?

If pressure goes down by a factor of four, would the volume have to increase by four?

P*V=constant.

If the temperature is kept constant, what change in volume would cause the pressure of an enclosed gas to be reduced to one-third of its original value?

To increase the gas pressure in a container hundredfold while keeping the temperature constant, you need to decrease the volume of the gas. According to Boyle's Law, the pressure and volume of a gas are inversely proportional when temperature is constant. Therefore, reducing the volume of the gas will in turn increase the pressure.

To answer the first question, according to Boyle's Law, the pressure and volume of an ideal gas are inversely proportional at constant temperature. This is expressed by the equation P1V1 = P2V2, where P1 and V1 represent the initial pressure and volume, and P2 and V2 represent the final pressure and volume. In this case, we want the pressure of the gas to be reduced to one-quarter of its original value. Hence, we can write the equation as follows:

P1V1 = P2V2

Since the temperature is constant, we can simplify the equation to:

P1 / 4 = P2

Therefore, to reduce the pressure to one-quarter of its original value, the final pressure (P2) should be one-fourth of the initial pressure (P1).

Now, in response to the second question, if the gas remains at a constant temperature, we can use the same equation to determine how to increase the gas pressure a hundredfold. Let's use P1 to represent the initial pressure and P2 to represent the final pressure:

P1V1 = P2V2

Since we want to increase the pressure a hundredfold, the final pressure (P2) should be a hundred times the initial pressure (P1):

P2 = 100P1

Therefore, to increase the pressure a hundredfold, the final pressure (P2) should be a hundred times the initial pressure (P1).