Temperature of Real Gas given Difference between Cp and Cv Calculator

✖Difference in Heat Capacities is the difference between Heat Capacity at constant Pressure and Heat Capacity at constant Volume.ⓘ Difference in Heat Capacities [δC_pv]			+10% -10%
✖The isothermal compressibility is the change in volume due to change in pressure at constant temperature.ⓘ Isothermal Compressibility [K_T]			+10% -10%
✖Specific Volume of the body is its volume per unit mass.ⓘ Specific Volume [v]			+10% -10%
✖Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.ⓘ Coefficient of Thermal Expansion [α]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas given Difference between Cp and Cv [T]

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Temperature of Real Gas given Difference between Cp and Cv Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2))
T = (δC_pv*K_T)/(v*(α^2))
This formula uses 5 Variables

Variables Used

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Difference in Heat Capacities - (Measured in Joule per Kilogram per K) - Difference in Heat Capacities is the difference between Heat Capacity at constant Pressure and Heat Capacity at constant Volume.
Isothermal Compressibility - (Measured in Square Meter per Newton) - The isothermal compressibility is the change in volume due to change in pressure at constant temperature.
Specific Volume - (Measured in Cubic Meter per Kilogram) - Specific Volume of the body is its volume per unit mass.
Coefficient of Thermal Expansion - (Measured in 1 Per Kelvin) - Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.

STEP 1: Convert Input(s) to Base Unit

Difference in Heat Capacities: 5 Joule per Kilogram per K --> 5 Joule per Kilogram per K No Conversion Required
Isothermal Compressibility: 75 Square Meter per Newton --> 75 Square Meter per Newton No Conversion Required
Specific Volume: 11 Cubic Meter per Kilogram --> 11 Cubic Meter per Kilogram No Conversion Required
Coefficient of Thermal Expansion: 0.1 1 Per Kelvin --> 0.1 1 Per Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (δC_pv*K_T)/(v*(α^2)) --> (5*75)/(11*(0.1^2))

Evaluating ... ...

T = 3409.09090909091

STEP 3: Convert Result to Output's Unit

3409.09090909091 Kelvin --> No Conversion Required

FINAL ANSWER

3409.09090909091 ≈ 3409.091 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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< Specific Heat Capacity Calculators

Coefficient of Thermal Expansion of Real Gas

LaTeX Go Coefficient of Thermal Expansion = sqrt(((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*Temperature))

Heat Capacity at Constant Pressure of Real Gas

LaTeX Go Heat Capacity Constant Pressure = ((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)+Heat Capacity Constant Volume

Heat Capacity at Constant Volume of Real Gas

LaTeX Go Heat Capacity Constant Volume = Heat Capacity Constant Pressure-((Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility)

Difference between Cp and Cv of Real Gas

LaTeX Go Difference in Heat Capacities = (Specific Volume*Temperature*(Coefficient of Thermal Expansion^2))/Isothermal Compressibility

Temperature of Real Gas given Difference between Cp and Cv Formula

LaTeX Go

Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2))
T = (δC_pv*K_T)/(v*(α^2))

What are postulates of Kinetic molecular theory of gas?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas.
2) no force of attraction between the gas molecules.
3) Particles of gas are in constant random motion.
4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic.
6) Different particles of the gas, have different speeds.
7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Temperature of Real Gas given Difference between Cp and Cv?

Temperature of Real Gas given Difference between Cp and Cv calculator uses Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2)) to calculate the Temperature, The Temperature of real gas given difference between Cp and Cv is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature is denoted by T symbol.

How to calculate Temperature of Real Gas given Difference between Cp and Cv using this online calculator? To use this online calculator for Temperature of Real Gas given Difference between Cp and Cv, enter Difference in Heat Capacities (δC_pv), Isothermal Compressibility (K_T), Specific Volume (v) & Coefficient of Thermal Expansion (α) and hit the calculate button. Here is how the Temperature of Real Gas given Difference between Cp and Cv calculation can be explained with given input values -> 3409.091 = (5*75)/(11*(0.1^2)).

FAQ

What is Temperature of Real Gas given Difference between Cp and Cv?

The Temperature of real gas given difference between Cp and Cv is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and is represented as T = (δC_pv*K_T)/(v*(α^2)) or Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2)). Difference in Heat Capacities is the difference between Heat Capacity at constant Pressure and Heat Capacity at constant Volume, The isothermal compressibility is the change in volume due to change in pressure at constant temperature, Specific Volume of the body is its volume per unit mass & Coefficient of thermal expansion describes how the size of an object changes with a change in temperature.

How to calculate Temperature of Real Gas given Difference between Cp and Cv?

The Temperature of real gas given difference between Cp and Cv is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale is calculated using Temperature = (Difference in Heat Capacities*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2)). To calculate Temperature of Real Gas given Difference between Cp and Cv, you need Difference in Heat Capacities (δC_pv), Isothermal Compressibility (K_T), Specific Volume (v) & Coefficient of Thermal Expansion (α). With our tool, you need to enter the respective value for Difference in Heat Capacities, Isothermal Compressibility, Specific Volume & Coefficient of Thermal Expansion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Temperature?

In this formula, Temperature uses Difference in Heat Capacities, Isothermal Compressibility, Specific Volume & Coefficient of Thermal Expansion. We can use 1 other way(s) to calculate the same, which is/are as follows -

Temperature = ((Heat Capacity Constant Pressure-Heat Capacity Constant Volume)*Isothermal Compressibility)/(Specific Volume*(Coefficient of Thermal Expansion^2))

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