Certain laws related to Pressure are given below. Identify the INCORRECT one(s).

  1. According to Boyle’s law, the volume of an ideal gas is directly proportional to the absolute temperature, at the constant pressure.
  2. According to Charles’ law, at a constant temperature, the pressure of the given mass of an ideal gas is inversely proportional to its volume.
  3. According to Gay Lussac’s law, at constant volume, the pressure exerted by an ideal gas is inversely proportional to its absolute temperature.

  1. A and B
  2. B and C
  3. A and C
  4. All of the above

Answer (Detailed Solution Below)

Option 4 : All of the above
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  • According to Boyle’s law, at a constant temperature, the pressure of the given mass of an ideal gas is inversely proportional to its volume. [P∝ 1/V]
  • According to Charles’ law, the volume of an ideal gas is directly proportional to the absolute temperature, at the constant pressure. [∝ T]
  • According to Gay Lussac’s law, at constant volume, the pressure exerted by an ideal gas is directly proportional to its absolute temperature. [∝ T]

The given statements are incorrect. The correct statements are:

  • According to Boyle’s law, the pressure of an ideal gas is inversely proportional to its volume at a constant temperature.
  • According to Charles’ law, the volume of an ideal gas is directly proportional to its absolute temperature at a constant pressure.
  • According to Gay Lussac’s law, the pressure of an ideal gas is directly proportional to its absolute temperature at a constant volume.

Boyle's Law:
Boyle's law states that the volume of a given amount of gas held at a constant temperature is inversely proportional to the pressure under which it is measured. Mathematically, Boyle's law can be expressed as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, respectively, and P2 and V2 are the final pressure and volume, respectively.

Charles' Law:
Charles' law states that, at a constant pressure, the volume of a fixed amount of gas is directly proportional to its absolute temperature. Mathematically, Charles' law can be expressed as V1/T1 = V2/T2, where V1 and T1 are the initial volume and absolute temperature, respectively, and V2 and T2 are the final volume and absolute temperature, respectively.

Gay-Lussac's Law:
Gay-Lussac's law states that, at constant volume, the pressure exerted by a fixed amount of gas is directly proportional to its absolute temperature. Mathematically, Gay-Lussac's law can be expressed as P1/T1 = P2/T2, where P1 and T1 are the initial pressure and absolute temperature, respectively, and P2 and T2 are the final pressure and absolute temperature, respectively.

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