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If a gas occupies 120 L at 9 atm, what volume will it occupy at standard pressure?

Question

If a gas occupies 120 L at 9 atm, what volume will it occupy at standard pressure?

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Solution

This problem can be solved using the ideal gas law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant. This relationship is expressed in the formula P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Here are the steps to solve the problem:

  1. Identify the initial pressure (P1), initial volume (V1), and final pressure (P2). In this case, P1 is 9 atm, V1 is 120 L, and P2 is 1 atm (standard pressure).

  2. Substitute these values into the formula: 9 atm * 120 L = 1 atm * V2.

  3. Solve for V2: V2 = (9 atm * 120 L) / 1 atm = 1080 L.

So, the gas will occupy a volume of 1080 L at standard pressure.

This problem has been solved

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