If a gas occupies a volume of 10 L at 1 atm, what will be its volume at 2 atm if

Practice Questions

Q1
If a gas occupies a volume of 10 L at 1 atm, what will be its volume at 2 atm if the temperature remains constant?
  1. 5 L
  2. 10 L
  3. 20 L
  4. 15 L

Questions & Step-by-Step Solutions

If a gas occupies a volume of 10 L at 1 atm, what will be its volume at 2 atm if the temperature remains constant?
  • Step 1: Identify the initial conditions. The initial pressure (P1) is 1 atm and the initial volume (V1) is 10 L.
  • Step 2: Identify the final pressure (P2). The final pressure is 2 atm.
  • Step 3: Use Boyle's Law formula, which states that P1 * V1 = P2 * V2.
  • Step 4: Substitute the known values into the formula: 1 atm * 10 L = 2 atm * V2.
  • Step 5: Solve for V2. Rearrange the equation to find V2: V2 = (1 atm * 10 L) / (2 atm).
  • Step 6: Calculate V2: V2 = 10 L / 2 = 5 L.
  • Step 7: Conclude that if the pressure doubles, the volume halves, so the final volume is 5 L.
  • 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.
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