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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

Determine the volume of 1 mole of an ideal gas at STP.

Options

  1. A0.224 , m ^3
  2. B0.00224 , m ^3
  3. C22.4 , m ^3
  4. D0.0224 , m ^3

Correct answer

D. 0.0224 , m ^3

Step-by-step solution

At Standard Temperature and Pressure (STP), the temperature is T = 273.15 K and the pressure is P = 1 atm = 1.013 10^5 Pa . Using the ideal gas equation PV = nRT for 1 mole of gas: V = nRT P = 1 8.314 273.15 1.013 10^5 0.0224 m ^3 Alternatively, it is a standard fact that 1 mole of an ideal gas occupies 22.4 L at STP. Converting liters to cubic meters: V = 22.4 L = 22.4 10⁻³ m ^3 = 0.0224 m ^3

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