Internal Energy of Perfect Gas at given Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Internal Energy = Specific Heat Capacity at Constant Volume*Temperature
U = Cv*T
This formula uses 3 Variables
Variables Used
Internal Energy - (Measured in Joule per Kilogram) - The internal energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.
Specific Heat Capacity at Constant Volume - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Capacity at Constant Volume: 750 Joule per Kilogram per K --> 750 Joule per Kilogram per K No Conversion Required
Temperature: 298.15 Kelvin --> 298.15 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = Cv*T --> 750*298.15
Evaluating ... ...
U = 223612.5
STEP 3: Convert Result to Output's Unit
223612.5 Joule per Kilogram -->223.6125 Kilojoule per Kilogram (Check conversion here)
FINAL ANSWER
223.6125 Kilojoule per Kilogram <-- Internal Energy
(Calculation completed in 00.004 seconds)

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Institute of Aeronautical Engineering (IARE), Hyderabad
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19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle
Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2
Choked Mass Flow Rate given specific heat ratio
Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))
Choked Mass Flow Rate
Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)
Stagnation Velocity of Sound given Specific Heat at Constant Pressure
Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)
Specific Heat of mixed out gas
Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)
Stagnation Temperature
Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)
Stagnation Velocity of Sound
Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)
Speed of Sound
Go Speed of Sound = sqrt(Heat Capacity Ratio*[R-Dry-Air]*Static Temperature)
Stagnation Velocity of Sound given Stagnation Enthalpy
Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)
Heat Capacity Ratio
Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume
Efficiency of cycle
Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat
Internal Energy of Perfect Gas at given Temperature
Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature
Enthalpy of Ideal Gas at given Temperature
Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature
Stagnation enthalpy
Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2
Efficiency of Joule cycle
Go Efficiency of Joule Cycle = Net Work Output/Heat
Pressure Ratio
Go Pressure Ratio = Final Pressure/Initial Pressure
Work ratio in practical cycle
Go Work Ratio = 1-(Compressor Work/Turbine Work)
Mach Number
Go Mach Number = Speed of Object/Speed of Sound
Mach Angle
Go Mach Angle = asin(1/Mach Number)

Internal Energy of Perfect Gas at given Temperature Formula

Internal Energy = Specific Heat Capacity at Constant Volume*Temperature
U = Cv*T

What is internal energy?

The internal energy of a gas is the energy stored in it by virtue of its molecular motion. Internal energy of a system is the difference between net heat transfer into the system and the net work done by the system.

How to Calculate Internal Energy of Perfect Gas at given Temperature?

Internal Energy of Perfect Gas at given Temperature calculator uses Internal Energy = Specific Heat Capacity at Constant Volume*Temperature to calculate the Internal Energy, The Internal Energy of perfect gas at given temperature formula is defined as the product of specific heat at constant volume and temperature. Internal Energy is denoted by U symbol.

How to calculate Internal Energy of Perfect Gas at given Temperature using this online calculator? To use this online calculator for Internal Energy of Perfect Gas at given Temperature, enter Specific Heat Capacity at Constant Volume (Cv) & Temperature (T) and hit the calculate button. Here is how the Internal Energy of Perfect Gas at given Temperature calculation can be explained with given input values -> 0.223612 = 750*298.15.

FAQ

What is Internal Energy of Perfect Gas at given Temperature?
The Internal Energy of perfect gas at given temperature formula is defined as the product of specific heat at constant volume and temperature and is represented as U = Cv*T or Internal Energy = Specific Heat Capacity at Constant Volume*Temperature. Specific Heat Capacity at Constant Volume means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant volume & Temperature is the degree or intensity of heat present in a substance or object.
How to calculate Internal Energy of Perfect Gas at given Temperature?
The Internal Energy of perfect gas at given temperature formula is defined as the product of specific heat at constant volume and temperature is calculated using Internal Energy = Specific Heat Capacity at Constant Volume*Temperature. To calculate Internal Energy of Perfect Gas at given Temperature, you need Specific Heat Capacity at Constant Volume (Cv) & Temperature (T). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Volume & Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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