A gas is compressed isothermally from a volume of 4 L to 1 L at a constant tempe
Practice Questions
Q1
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.
