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Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)?
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Introduction
To calculate the molar specific heat of a monoatomic gas at constant volume, we employ the principles of thermodynamics and molecular physics.
Molar Specific Heat at Constant Volume
- The molar specific heat at constant volume (Cv) for a monoatomic ideal gas is derived from kinetic theory.
- It is based on the degrees of freedom of the gas molecules. Monoatomic gases have 3 translational degrees of freedom.
Formula
- The formula for the molar specific heat at constant volume is given by:
Cv = (3/2) R
Calculation
- Given R = 8.314 J mol^-1 K^-1, we can substitute this value into the formula:
Cv = (3/2) * 8.314 J mol^-1 K^-1
- Performing the calculation:
Cv = 12.471 J mol^-1 K^-1
Conclusion
- Therefore, the molar specific heat of a monoatomic gas at constant volume is approximately 12.47 J mol^-1 K^-1.
In summary, the specific heat at constant volume for a monoatomic gas is directly related to the number of degrees of freedom of the gas particles. This property is crucial in understanding how gases respond to changes in temperature and energy, forming a fundamental aspect of thermodynamics.
To calculate the molar specific heat of a monoatomic gas at constant volume, we employ the principles of thermodynamics and molecular physics.
Molar Specific Heat at Constant Volume
- The molar specific heat at constant volume (Cv) for a monoatomic ideal gas is derived from kinetic theory.
- It is based on the degrees of freedom of the gas molecules. Monoatomic gases have 3 translational degrees of freedom.
Formula
- The formula for the molar specific heat at constant volume is given by:
Cv = (3/2) R
Calculation
- Given R = 8.314 J mol^-1 K^-1, we can substitute this value into the formula:
Cv = (3/2) * 8.314 J mol^-1 K^-1
- Performing the calculation:
Cv = 12.471 J mol^-1 K^-1
Conclusion
- Therefore, the molar specific heat of a monoatomic gas at constant volume is approximately 12.47 J mol^-1 K^-1.
In summary, the specific heat at constant volume for a monoatomic gas is directly related to the number of degrees of freedom of the gas particles. This property is crucial in understanding how gases respond to changes in temperature and energy, forming a fundamental aspect of thermodynamics.
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Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)?
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Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)?.
Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Que :- Calculate the molar specific heat of monoatomic gas at constant volume. (R = 8.314 J mol^-1 K^-1) (Ans with solution)?.
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