Well, honey, heat capacity is a path function because it depends on the specific process or path taken to reach a certain state. It's all about how much heat is needed to change the temperature of a substance, and that can vary depending on the route you take. So, in a nutshell, heat capacity doesn't give a damn about the destination, it's all about the journey.
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).
A point function is a function whose value depends only on the state of a system at a single point, regardless of the path taken to reach that state. Examples include pressure, temperature, and density. In contrast, a path function depends on the path taken to reach a particular state and not just the initial and final states of a system. Examples include work and heat.
Heat capacity is the total amount of heat energy required to raise the temperature of a substance by a given amount, while specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius. Specific heat capacity is a property intrinsic to the substance, while heat capacity depends on the amount of the substance present. The heat capacity of a substance is the product of its specific heat capacity and its mass.
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.
The heat capacity of an object depends in part on its mass, its material composition, and its specific heat capacity. Heat capacity is the amount of heat energy required to raise the temperature of the object by 1 degree Celsius.
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)
A path function in thermodynamics is a function whose value depends on the path taken to reach a particular state. Examples include work and heat. These functions are not solely determined by the initial and final states but also by the process followed.
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).
Heat is not a state function because it depends on the path taken to reach a particular state. The amount of heat transferred during a process can vary depending on the specific conditions under which the process occurs. As a result, heat is considered a path-dependent quantity rather than a state function.
A point function is a function whose value depends only on the state of a system at a single point, regardless of the path taken to reach that state. Examples include pressure, temperature, and density. In contrast, a path function depends on the path taken to reach a particular state and not just the initial and final states of a system. Examples include work and heat.
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.
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.
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.
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.
specific heat capacity
Heat capacity is the total amount of heat energy required to raise the temperature of a substance by a given amount, while specific heat capacity is the amount of heat energy required to raise the temperature of a unit mass of a substance by one degree Celsius. Specific heat capacity is a property intrinsic to the substance, while heat capacity depends on the amount of the substance present. The heat capacity of a substance is the product of its specific heat capacity and its mass.
What is the specific heat capacity of kno3