What is the specific heat capacity at constant volume (Cv) for a monatomic ideal gas?
Practice Questions
1 question
Q1
What is the specific heat capacity at constant volume (Cv) for a monatomic ideal gas?
3/2 R
5/2 R
R
2 R
The specific heat capacity at constant volume for a monatomic ideal gas is Cv = 3/2 R.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the specific heat capacity at constant volume (Cv) for a monatomic ideal gas?
Solution: The specific heat capacity at constant volume for a monatomic ideal gas is Cv = 3/2 R.
Steps: 6
Step 1: Understand what specific heat capacity means. It is the amount of heat required to change the temperature of a substance.
Step 2: Recognize that we are looking for the specific heat capacity at constant volume, which means the volume of the gas does not change while heating.
Step 3: Know that a monatomic ideal gas consists of single atoms, like helium or neon.
Step 4: Recall the formula for specific heat capacity at constant volume (Cv) for an ideal gas, which is derived from kinetic theory.
Step 5: For a monatomic ideal gas, the formula shows that Cv = (3/2) * R, where R is the universal gas constant (approximately 8.314 J/(mol·K)).
Step 6: Conclude that the specific heat capacity at constant volume for a monatomic ideal gas is Cv = 3/2 R.
