What is the average kinetic energy of one mole of an ideal gas at temperature T?
Practice Questions
1 question
Q1
What is the average kinetic energy of one mole of an ideal gas at temperature T?
(3/2)RT
(5/2)RT
(1/2)RT
(2/3)RT
The average kinetic energy of one mole of an ideal gas is given by the formula KE = (3/2)RT, where R is the gas constant and T is the temperature in Kelvin.
Questions & Step-by-step Solutions
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Q
Q: What is the average kinetic energy of one mole of an ideal gas at temperature T?
Solution: The average kinetic energy of one mole of an ideal gas is given by the formula KE = (3/2)RT, where R is the gas constant and T is the temperature in Kelvin.
Steps: 6
Step 1: Understand that kinetic energy is the energy of motion. For gases, this energy is related to the temperature.
Step 2: Know that the average kinetic energy of gas particles increases with temperature.
Step 3: Learn the formula for the average kinetic energy of one mole of an ideal gas: KE = (3/2)RT.
Step 4: Identify R as the gas constant, which is approximately 8.314 J/(mol·K).
Step 5: Recognize that T is the temperature measured in Kelvin (K).
Step 6: Use the formula to calculate the average kinetic energy by plugging in the values for R and T.