Moderate

A graph between pressure and product of pressure and volume at constant temperature and number of moles gives:

Correct answer: A. Straight line parallel to x-axis

  • A. Straight line parallel to x-axis
  • B. Straight line parallel to y-axis
  • C. Straight line passing through the origin
  • D. The curve showing the maximum

Explanation

A graph between pressure and the product of pressure and volume at constant temperature and number of moles is a straight line parallel to the x-axis. The product of pressure and volume is a constant at constant temperature and number of moles. This is because the ideal gas law states that: PV = nRT Where: P is the pressure of the gas V is the volume of the gas n is the number of moles of the gas R is the ideal gas constant T is the temperature of the gas If we keep the temperature and number of moles constant, then the product of pressure and volume will also be constant. This means that if we plot pressure on the x-axis and the product of pressure and volume on the y-axis, we will get a straight line parallel to the x-axis.

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About Ideal Gas Equation

The ideal gas equation, PV = nRT, relates pressure, volume, amount and absolute temperature when gas particles are assumed to have negligible volume and no intermolecular forces. Applications include finding molar mass, density or an unknown gas variable, with careful use of Kelvin temperature and consistent units, and comparison with real-gas behaviour.

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