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What is the specific heat at constant volume (Cv) for a monatomic ideal gas? (20

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Question: What is the specific heat at constant volume (Cv) for a monatomic ideal gas? (2019)

Options:

  1. 3R/2
  2. 5R/2
  3. R
  4. 2R

Correct Answer: 3R/2

Solution:

For a monatomic ideal gas, the specific heat at constant volume (Cv) is 3R/2.

What is the specific heat at constant volume (Cv) for a monatomic ideal gas? (20

Practice Questions

Q1
What is the specific heat at constant volume (Cv) for a monatomic ideal gas? (2019)
  1. 3R/2
  2. 5R/2
  3. R
  4. 2R

Questions & Step-by-Step Solutions

What is the specific heat at constant volume (Cv) for a monatomic ideal gas? (2019)
  • Step 1: Understand what a monatomic ideal gas is. It is a gas made up of single atoms, like helium or neon.
  • Step 2: Know that specific heat at constant volume (Cv) is the amount of heat required to raise the temperature of a gas when the volume does not change.
  • Step 3: Recall the formula for specific heat for a monatomic ideal gas, which is derived from kinetic theory and thermodynamics.
  • Step 4: The formula for Cv for a monatomic ideal gas is Cv = (3/2)R, where R is the universal gas constant.
  • Step 5: Therefore, for a monatomic ideal gas, Cv = 3R/2.
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