The problem can be solved using the ideal gas law, which states that the pressure of a gas times its volume is constant at a constant temperature (isothermally). This can be written as:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

From the problem, we know that:
P1 = 1.5 atm
V1 = 1 (we can assume any value for the initial volume, it won't affect the final result)
V2 = 1/4 * V1 = 1/4

We can substitute these values into the ideal gas law equation to find P2:

1.5 atm * 1 = P2 * 1/4

Solving for P2 gives:

P2 = 1.5 atm * 4 = 6 atm

So, the new pressure of the gas after it is compressed isothermally to one-fourth of its original volume is 6 atm.

Question

The problem can be solved using the ideal gas law, which states that the pressure of a gas times its volume is constant at a constant temperature (isothermally). This can be written as:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

From the problem, we know that:
P1 = 1.5 atm
V1 = 1 (we can assume any value for the initial volume, it won't affect the final result)
V2 = 1/4 * V1 = 1/4

We can substitute these values into the ideal gas law equation to find P2:

1.5 atm * 1 = P2 * 1/4

Solving for P2 gives:

P2 = 1.5 atm * 4 = 6 atm

So, the new pressure of the gas after it is compressed isothermally to one-fourth of its original volume is 6 atm.

Knowee AI · Accepted Answer

The problem can be solved using the ideal gas law, which states that the pressure of a gas times its volume is constant at a constant temperature (isothermally). This can be written as:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume

From the problem, we know that:
P1 = 1.5 atm
V1 = 1 (we can assume any value for the initial volume, it won't affect the final result)
V2 = 1/4 * V1 = 1/4

We can substitute these values into the ideal gas law equation to find P2:

1.5 atm * 1 = P2 * 1/4

Solving for P2 gives:

P2 = 1.5 atm * 4 = 6 atm

So, the new pressure of the gas after it is compressed isothermally to one-fourth of its original volume is 6 atm.

A container filled with a sample of an ideal gas at the pressure of 1.5 atm. The gas is compressed isothermally to one-fourth of its original volume. What is the new pressure of the gas?

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