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Which of the following methods will enable the volume of ideal gas to be increased four times?

Question

Which of the following methods will enable the volume of ideal gas to be increased four times?

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Solution

The volume of an ideal gas can be increased four times by either of the following methods:

  1. Quadrupling the Temperature: According to Charles's Law, the volume of an ideal gas is directly proportional to its absolute temperature, provided the pressure and the amount of gas remain constant. Therefore, if the temperature of the gas is increased four times, the volume of the gas will also increase four times.

  2. Quadrupling the Amount of Gas: According to Avogadro's Law, the volume of a gas is directly proportional to the number of gas molecules, provided the temperature and pressure remain constant. Therefore, if the amount of gas is increased four times, the volume of the gas will also increase four times.

  3. Reducing the Pressure to a Quarter: According to Boyle's Law, the volume of a gas is inversely proportional to its pressure, provided the temperature and the amount of gas remain constant. Therefore, if the pressure of the gas is reduced to a quarter, the volume of the gas will increase four times.

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