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NEETPhysicsKinetic Theory of Gases

A sample of solid carbon dioxide (dry ice) is placed in a chamber. If the intermolecular forces between the molecules were to completely vanish, the substance would occupy a volume of 11.2 m ^3 at STP. What is the actual mass of the dry ice sample?

Options

  1. A0.022 kg
  2. B22 kg
  3. C14 kg
  4. D22000 kg

Correct answer

B. 22 kg

Step-by-step solution

If the intermolecular forces vanish, the substance behaves as an ideal gas. The volume occupied by the gas at STP is given as V = 11.2 m ^3 . Since 1 m ^3 = 1000 L , the volume in liters is: V = 11.2 10^3 L = 11200 L The volume occupied by one mole of an ideal gas at STP is 22.4 L . Number of moles of CO ₂ is: n = 11200 22.4 = 500 mol The molar mass of CO ₂ is 44 g mol ⁻¹ . Total mass of the sample is: m = n M = 500 44 = 22000 g Converting to kilograms: m = 22 kg Answer: 22 kg

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