Assuming your natural gas is 100% methane, the specific heat at constant pressure at 25°C:
Cp/R = 4.217
where R is the ideal gas constant represented in terms of energy.
Using R=8.314 Joule/(Kelvin*mole)
This yields Cp=35.06 J/(K*mol)
The heat capacity at constant volume, Cv, is related to the heat capacity at constant pressure, Cp by the following expression:
Cp-Cv=R
Therefore Cv=Cp-R = 35.06 J/(K*mol) - 8.314 J/(K*mol) = 26.75 J/(K*mol)
Assumptions:
A more accurate heat capacity as a function of temperature is
Cp/R = 1.702 + 9.081E-3*T - 2.164*T^(-2)
where T is in Kelvins from 298K (25°C) to 1500K (1226.85°C)
Assumptions 2 and 3 above do not apply to this.
Source: Introduction to Chemical Engineering Thermodynamics. 7th Ed. by J.M. Smith, Appendix C p. 684
c = specific heat .16902 = air at constant volume (since the cylinder size stays the same) 1.405 = specific heat of air at constant pressure divided by specific heat of air at constant volume *pressure doesn't necessarily stay constant as cylinder could be air compressor so c= 0.16902 (1.3-1.405/1.3-1) c= 0.169024 (-0.105/.3) c= 0.169024 (-0.35) c= -0.059158 or -0.059
The specific heat at constant volume for a diatomic gas is typically 5R/2. The specific heat ratio, or gamma (γ), is defined as the ratio of the specific heat at constant pressure to the specific heat at constant volume. Therefore, for a diatomic gas with (C_v = \frac{5R}{2}), the gamma will be (\gamma = \frac{C_p}{C_v} = \frac{7R/2}{5R/2} = \frac{7}{5}) or 1.4.
The adiabatic index of liquid water is about 4/3 or 1.33. This value represents the ratio of specific heat at constant pressure to specific heat at constant volume. Different liquids may have slightly different adiabatic indices depending on their molecular structure and interactions.
The values of cp (specific heat at constant pressure) and cv (specific heat at constant volume) are different for different gases because the way gases store and release heat energy varies depending on their molecular structure and behavior. Gases with different molecular compositions have different ways of transferring and storing energy, leading to variations in their specific heat capacities.
The enthalpy equation used to calculate the change in heat energy of a system at constant pressure is H q PV, where H is the change in enthalpy, q is the heat added or removed from the system, P is the pressure, and V is the change in volume.
Yes it has! the specific heat of water at constant volume is given by cV : Heat capacity at constant volume cP : Heat capacity at constant pressure : Thermal expansion coefficient : Isothermal compressibility : Density
This is the necessary heat to raise the temprataure of 1 mol with 1 kelvin, at constant volume.
Density Specific Volume Pressure Temperature Viscoisy Gas Constant Heat Specific
c = specific heat .16902 = air at constant volume (since the cylinder size stays the same) 1.405 = specific heat of air at constant pressure divided by specific heat of air at constant volume *pressure doesn't necessarily stay constant as cylinder could be air compressor so c= 0.16902 (1.3-1.405/1.3-1) c= 0.169024 (-0.105/.3) c= 0.169024 (-0.35) c= -0.059158 or -0.059
Specific heat capacity at constant pressure (cp) is used for gases because the heat transfer is generally at constant pressure conditions. For solids, heat transfer typically occurs at constant volume since solids do not easily change their volume. Therefore, the specific heat capacity at constant volume (cv) is used for solids in heat transfer calculations.
For gases, there is heat specific heat capacity under the assumption that the volume remains constant, and under the assumption that the pressure remains constant. The reason the values are different is that when heating up a gas, in the case of constant pressure it requires additional energy to expand the gas. For solids and liquids, "constant volume" isn't used, since it would require a huge pressure to maintain the constant volume.
The value of the specific heat ratio (gamma) in air is approximately 1.4 at room temperature. It represents the ratio of specific heats, which is the ratio of the heat capacity at constant pressure to the heat capacity at constant volume.
The specific heat at constant pressure is larger than the molar specific heat at constant volume because if heat is added to a system it not only heats up but expands in volume. Therefore the system is doing work against the external pressure and the heat is not only stored as kinetic and potential energy but is also required to perform work. In general more heat can be stored in a system at constant pressure than one at constant volume. The specific heat at constant pressure is larger than the molar specific heat at constant volume because if heat is added to a system it not only heats up but expands in volume. Therefore the system is doing work against the external pressure and the heat is not only stored as kinetic and potential energy but is also required to perform work. In general more heat can be stored in a system at constant pressure than one at constant volume.
The specific heat at constant volume for a diatomic gas is typically 5R/2. The specific heat ratio, or gamma (γ), is defined as the ratio of the specific heat at constant pressure to the specific heat at constant volume. Therefore, for a diatomic gas with (C_v = \frac{5R}{2}), the gamma will be (\gamma = \frac{C_p}{C_v} = \frac{7R/2}{5R/2} = \frac{7}{5}) or 1.4.
Specific heat has nothing to do with specific volume.
Molar specific heats of a gas refer to the amount of heat required to raise the temperature of one mole of the gas by one degree Celsius (or Kelvin) at constant pressure or constant volume. The specific heat capacity at constant pressure is denoted as Cp, and at constant volume as Cv. These values are important in understanding the thermodynamic behavior of gases.
The constant specific heat equation is used in thermodynamics to calculate the amount of heat transferred during a process when the specific heat of a substance remains constant.