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The difference between Cp and Cv is equal to
- a)8.314 ergs K-1 mol-1
- b)2 kcal mol-1
- c)8.314 JK-1mol-1
- d)1.99 cal
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The difference between Cp and Cv is equal toa)8.314 ergs K-1mol-1b)2 k...
Cp-Cv = R
R is gas constant whose value is 8.314 J/K/mol
R is gas constant whose value is 8.314 J/K/mol
Most Upvoted Answer
The difference between Cp and Cv is equal toa)8.314 ergs K-1mol-1b)2 k...
Cp and Cv are two thermodynamic properties that are used to describe the heat capacities of a substance. The main difference between Cp and Cv lies in the conditions under which they are measured.
Cp: Constant Pressure Heat Capacity
- Cp is the heat capacity of a substance at constant pressure.
- It is defined as the amount of heat required to raise the temperature of a substance by one degree Celsius (or one Kelvin) at constant pressure.
- Cp is measured when the substance is allowed to expand or contract freely to accommodate the change in volume that occurs during heating.
- The presence of constant pressure allows for heat exchange with the surroundings, and thus the measurement of Cp includes the heat required to perform work on the surroundings.
Cv: Constant Volume Heat Capacity
- Cv is the heat capacity of a substance at constant volume.
- It is defined as the amount of heat required to raise the temperature of a substance by one degree Celsius (or one Kelvin) at constant volume.
- Cv is measured when the substance is not allowed to expand or contract, keeping its volume constant.
- In this case, no work is performed on the surroundings, and thus Cv only includes the heat required to increase the internal energy of the substance.
Difference between Cp and Cv
- The difference between Cp and Cv is equal to the gas constant, R.
- The gas constant, denoted by R, is a fundamental constant that relates the energy and temperature of a substance.
- The value of the gas constant depends on the units used to express the other thermodynamic quantities.
- In this question, the options provided are in different units, but the correct answer is option 'C' because it represents the gas constant in SI units, which is 8.314 J/(K·mol).
Summary
- Cp and Cv are heat capacities that describe the amount of heat required to raise the temperature of a substance at constant pressure and constant volume, respectively.
- The difference between Cp and Cv is equal to the gas constant, R, which has a value of 8.314 J/(K·mol) in SI units.
Cp: Constant Pressure Heat Capacity
- Cp is the heat capacity of a substance at constant pressure.
- It is defined as the amount of heat required to raise the temperature of a substance by one degree Celsius (or one Kelvin) at constant pressure.
- Cp is measured when the substance is allowed to expand or contract freely to accommodate the change in volume that occurs during heating.
- The presence of constant pressure allows for heat exchange with the surroundings, and thus the measurement of Cp includes the heat required to perform work on the surroundings.
Cv: Constant Volume Heat Capacity
- Cv is the heat capacity of a substance at constant volume.
- It is defined as the amount of heat required to raise the temperature of a substance by one degree Celsius (or one Kelvin) at constant volume.
- Cv is measured when the substance is not allowed to expand or contract, keeping its volume constant.
- In this case, no work is performed on the surroundings, and thus Cv only includes the heat required to increase the internal energy of the substance.
Difference between Cp and Cv
- The difference between Cp and Cv is equal to the gas constant, R.
- The gas constant, denoted by R, is a fundamental constant that relates the energy and temperature of a substance.
- The value of the gas constant depends on the units used to express the other thermodynamic quantities.
- In this question, the options provided are in different units, but the correct answer is option 'C' because it represents the gas constant in SI units, which is 8.314 J/(K·mol).
Summary
- Cp and Cv are heat capacities that describe the amount of heat required to raise the temperature of a substance at constant pressure and constant volume, respectively.
- The difference between Cp and Cv is equal to the gas constant, R, which has a value of 8.314 J/(K·mol) in SI units.
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Community Answer
The difference between Cp and Cv is equal toa)8.314 ergs K-1mol-1b)2 k...
Cp-Cv = R
R is gas constant whose value is 8.314 J/K/mol
R is gas constant whose value is 8.314 J/K/mol
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