A gas is compressed isothermally from a volume of 4 L to 1 L at a constant tempe

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Question: A gas is compressed isothermally from a volume of 4 L to 1 L at a constant temperature of 300 K. If the initial pressure is 1 atm, what is the final pressure?

Options:

4 atm
3 atm
2 atm
1 atm

Correct Answer: 4 atm

Solution:

Using Boyle\'s Law, P1V1 = P2V2, we find P2 = P1 * (V1/V2) = 1 atm * (4 L / 1 L) = 4 atm.

A gas is compressed isothermally from a volume of 4 L to 1 L at a constant tempe

Practice Questions

A gas is compressed isothermally from a volume of 4 L to 1 L at a constant temperature of 300 K. If the initial pressure is 1 atm, what is the final pressure?

4 atm
3 atm
2 atm
1 atm

Questions & Step-by-Step Solutions

A gas is compressed isothermally from a volume of 4 L to 1 L at a constant temperature of 300 K. If the initial pressure is 1 atm, what is the final pressure?

Step 1: Identify the initial pressure (P1), initial volume (V1), and final volume (V2). Here, P1 = 1 atm, V1 = 4 L, and V2 = 1 L.
Step 2: Recall Boyle's Law, which states that P1 * V1 = P2 * V2. This means that the product of pressure and volume is constant for a given amount of gas at a constant temperature.
Step 3: Rearrange the equation to solve for the final pressure (P2). The formula becomes P2 = P1 * (V1 / V2).
Step 4: Substitute the known values into the equation: P2 = 1 atm * (4 L / 1 L).
Step 5: Calculate the final pressure: P2 = 1 atm * 4 = 4 atm.

Boyle's Law – Boyle's Law states that for a given mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume.

A gas is compressed isothermally from a volume of 4 L to 1 L at a constant tempe

What’s inside this PDF?

A gas is compressed isothermally from a volume of 4 L to 1 L at a constant tempe

Practice Questions

Questions & Step-by-Step Solutions

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