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How is heat capacity a path function?

Updated: 4/28/2022
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Heat capacity is NOT a path function. It is a STATE function. It depends on the phase of the material, the temperature and the pressure. Usually heat capacity is known at some particular condition and then a calculation is required to estimate it at the condition of interest. Performing these calculations should always result in the same final value no matter the path you took to get to the value - hence it is a STATE function rather than PATH. Path functions would be things like WORK and HEAT (for which the state function "heat capacity" might be used in the calculations)

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Q: How is heat capacity a path function?
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What is difference between path function and point function in thermodyanaMICS?

Path function: Their magnitudes depend on the path followed during a process as well as the end states. Work (W), heat (Q) are path functions.The cyclic integral of a path function is non-zero. work and heat are path functions.Point Function: They depend on the state only, and not on how a system reaches that state. All properties are point functions.The cyclic integral of a point function is zero. properties are point functions, (ie pressure,volume,temperature and entropy).


Define point function and path function?

Point function and path function are found in Thermodynamics.


Define heat capacity and specific heat capacity?

Heat capacity is The ratio of the heat energy absorbed by a substance to the substance's increase in temperature. The quantity of heat required to raise a unit mass of homogeneous material one unit in temperature along a specified path, provided that during the process no phase or chemical changes occur, is known as the heat capacity of the material. Moreover, the path is so restricted that the only work effects are those necessarily done on the surroundings to cause the change to conform to the specified path. The path is usually at either constant pressure or constant volume. In accordance with the first law of thermodynamics, heat capacity at constant pressure Cp is equal to the rate of change of enthalpy with temperature at constant pressure (?H/?T)p. Heat capacity at constant volume Cv is the rate of change of internal energy with temperature at constant volume (?U/?T)v. It is usually expressed as calories per degree in terms of the amount of the material being considered. Heat capacity and its temperature variation depend on differences in energy levels for atoms. Heat capacities are measured with a calorimeter and are important as a means of determining the entropies of materials.


Dimensional formula for heat capacity and specific heat capacity?

heat capacity- ML2T-2K-1 Specific Heat Capacity-M0L2T-2K-1


What is relation between heat capacity and specific heat capacity?

The "specific heat capacity" is simply the heat capacity per unit - it might be per mass unit, per volume unit, or per amount of moles.

Related questions

How heat is a path function?

Heat capacity is NOT a path function. It is a STATE function. It depends on the phase of the material, the temperature and the pressure. Usually heat capacity is known at some particular condition and then a calculation is required to estimate it at the condition of interest. Performing these calculations should always result in the same final value no matter the path you took to get to the value - hence it is a STATE function rather than PATH. Path functions would be things like WORK and HEAT (for which the state function "heat capacity" might be used in the calculations)


What is difference between path function and point function in thermodyanaMICS?

Path function: Their magnitudes depend on the path followed during a process as well as the end states. Work (W), heat (Q) are path functions.The cyclic integral of a path function is non-zero. work and heat are path functions.Point Function: They depend on the state only, and not on how a system reaches that state. All properties are point functions.The cyclic integral of a point function is zero. properties are point functions, (ie pressure,volume,temperature and entropy).


How is heating related to a substance?

As an object is heated, the rate of increase in temperature is proportional to the rate of heat added. The proportionality is called the heat capacity. Because the heat capacity is actually a function of temperature in real materials, the total amount of energy added will be equal to the integral of the heat capacity function over the interval from the initial temperature to the final temperature. If you just assume an average heat capacity over the temperature range, then the rise in temperature will be exactly proportional to the amount of heat added.


How is heating related to a substance's temperature?

As an object is heated, the rate of increase in temperature is proportional to the rate of heat added. The proportionality is called the heat capacity. Because the heat capacity is actually a function of temperature in real materials, the total amount of energy added will be equal to the integral of the heat capacity function over the interval from the initial temperature to the final temperature. If you just assume an average heat capacity over the temperature range, then the rise in temperature will be exactly proportional to the amount of heat added.


What is the heat capacity of silicon dioxide?

Heat capacity is a function of temperature so there is no single value that is valid at all temperatures. That said, The heat capacity ranges from about 680 to about 730 J/kg·K. If you just estimate it as 700 J/kg·K you won't be far off.


Define point function and path function?

Point function and path function are found in Thermodynamics.


What is the difference between path function and state function?

state function did not depend on the path , it depends on the initial and final point of the system where as path function depends on the path of the reaction.


What factor most influence the amount of energy needed to change the temperature of a substance?

specific heat capacity


What is path function in thermodynamics?

a function whose magnitude depends on the path followed by the function and on the end points.


Define heat capacity and specific heat capacity?

Heat capacity is The ratio of the heat energy absorbed by a substance to the substance's increase in temperature. The quantity of heat required to raise a unit mass of homogeneous material one unit in temperature along a specified path, provided that during the process no phase or chemical changes occur, is known as the heat capacity of the material. Moreover, the path is so restricted that the only work effects are those necessarily done on the surroundings to cause the change to conform to the specified path. The path is usually at either constant pressure or constant volume. In accordance with the first law of thermodynamics, heat capacity at constant pressure Cp is equal to the rate of change of enthalpy with temperature at constant pressure (?H/?T)p. Heat capacity at constant volume Cv is the rate of change of internal energy with temperature at constant volume (?U/?T)v. It is usually expressed as calories per degree in terms of the amount of the material being considered. Heat capacity and its temperature variation depend on differences in energy levels for atoms. Heat capacities are measured with a calorimeter and are important as a means of determining the entropies of materials.


How does heat capacity makes water a good heat sink?

If a body of water has a high heat capacity, it can store more thermal energy making it a good heat sink.


What is the speciic heat capacity of KNO3?

What is the specific heat capacity of kno3