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In an isothermal process, the temperature of an ideal gas remains constant. If t

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Question: In an isothermal process, the temperature of an ideal gas remains constant. If the volume of the gas is doubled, what happens to the pressure? (2020)

Options:

  1. It doubles
  2. It halves
  3. It remains constant
  4. It quadruples

Correct Answer: It halves

Exam Year: 2020

Solution: 

According to Boyle\'s Law, P1V1 = P2V2. If V2 = 2V1, then P2 = P1/2.

In an isothermal process, the temperature of an ideal gas remains constant. If t

Practice Questions

Q1
In an isothermal process, the temperature of an ideal gas remains constant. If the volume of the gas is doubled, what happens to the pressure? (2020)
  1. It doubles
  2. It halves
  3. It remains constant
  4. It quadruples

Questions & Step-by-Step Solutions

In an isothermal process, the temperature of an ideal gas remains constant. If the volume of the gas is doubled, what happens to the pressure? (2020)
  • Step 1: Understand that an isothermal process means the temperature of the gas does not change.
  • Step 2: Recall Boyle's Law, which states that the pressure (P) of a gas is inversely proportional to its volume (V) when temperature is constant. This can be written as P1V1 = P2V2.
  • Step 3: Identify the initial conditions: let P1 be the initial pressure and V1 be the initial volume of the gas.
  • Step 4: If the volume is doubled, then the new volume (V2) is 2 times the initial volume (V2 = 2V1).
  • Step 5: Substitute V2 into Boyle's Law: P1V1 = P2(2V1).
  • Step 6: Simplify the equation: P1 = 2P2.
  • Step 7: Rearrange the equation to find P2: P2 = P1/2.
  • Step 8: Conclude that if the volume of the gas is doubled, the pressure is halved.
  • Isothermal Process – An isothermal process is one in which the temperature of the system remains constant throughout the process.
  • Boyle's Law – Boyle's Law states that for a given mass of an ideal gas at constant temperature, the pressure of the gas is inversely proportional to its volume.
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