Exit Velocity given Molar Mass Solution

STEP 0: Pre-Calculation Summary
Formula Used
Exit velocity = sqrt(((2*Inlet temperature*Universal Gas Constant*Specific Heat Ratio Dynamic)/(Molar Mass)/(Specific Heat Ratio Dynamic-1))*((1-(Exit pressure/Inlet Pressure)^(1-(1/Specific Heat Ratio Dynamic)))))
c2 = sqrt(((2*Tinlet*R*κ)/(Mmolar)/(κ-1))*((1-(Pa/Pinlet)^(1-(1/κ)))))
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Exit velocity - (Measured in Meter per Second) - Exit velocity is the velocity of the flow at state 2 or exit.
Inlet temperature - (Measured in Kelvin) - Inlet temperature is the degree of measure of heat at inlet to the system.
Universal Gas Constant - Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.
Specific Heat Ratio Dynamic - The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Molar Mass - (Measured in Kilogram Per Mole) - Molar Mass is the mass of a given substance divided by the amount of substance.
Exit pressure - (Measured in Pascal) - Exit pressure is the pressure at the exit or the output or the end of a pipe or a flow channel.
Inlet Pressure - (Measured in Pascal) - The Inlet Pressure is the amount of pressure generated inside the combustion chamber of a rocket.
STEP 1: Convert Input(s) to Base Unit
Inlet temperature: 15 Kelvin --> 15 Kelvin No Conversion Required
Universal Gas Constant: 8.314 --> No Conversion Required
Specific Heat Ratio Dynamic: 1.392758 --> No Conversion Required
Molar Mass: 44.01 Gram Per Mole --> 0.04401 Kilogram Per Mole (Check conversion here)
Exit pressure: 2.1 Megapascal --> 2100000 Pascal (Check conversion here)
Inlet Pressure: 20 Megapascal --> 20000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c2 = sqrt(((2*Tinlet*R*κ)/(Mmolar)/(κ-1))*((1-(Pa/Pinlet)^(1-(1/κ))))) --> sqrt(((2*15*8.314*1.392758)/(0.04401)/(1.392758-1))*((1-(2100000/20000000)^(1-(1/1.392758)))))
Evaluating ... ...
c2 = 97.2262619232419
STEP 3: Convert Result to Output's Unit
97.2262619232419 Meter per Second --> No Conversion Required
FINAL ANSWER
97.2262619232419 Meter per Second <-- Exit velocity
(Calculation completed in 00.030 seconds)

Credits

Created by Shreyash
Rajiv Gandhi Institute of Technology (RGIT), Mumbai
Shreyash has created this Calculator and 0 more calculators!
Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
Kartikay Pandit has verified this Calculator and 2 more calculators!

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Exit Velocity given Molar Mass Formula

Exit velocity = sqrt(((2*Inlet temperature*Universal Gas Constant*Specific Heat Ratio Dynamic)/(Molar Mass)/(Specific Heat Ratio Dynamic-1))*((1-(Exit pressure/Inlet Pressure)^(1-(1/Specific Heat Ratio Dynamic)))))
c2 = sqrt(((2*Tinlet*R*κ)/(Mmolar)/(κ-1))*((1-(Pa/Pinlet)^(1-(1/κ)))))

What is Exit Velocity?

The velocity produced at the outlet of the rocket engine through the nozzle is called as exit velocity. This parameter is useful to examine the rocket's performance.

How to Calculate Exit Velocity given Molar Mass?

Exit Velocity given Molar Mass calculator uses Exit velocity = sqrt(((2*Inlet temperature*Universal Gas Constant*Specific Heat Ratio Dynamic)/(Molar Mass)/(Specific Heat Ratio Dynamic-1))*((1-(Exit pressure/Inlet Pressure)^(1-(1/Specific Heat Ratio Dynamic))))) to calculate the Exit velocity, The Exit Velocity given Molar Mass formula can be used to determine the exit velocity through the nozzle when the value of Molar Mass is known. Exit velocity is denoted by c2 symbol.

How to calculate Exit Velocity given Molar Mass using this online calculator? To use this online calculator for Exit Velocity given Molar Mass, enter Inlet temperature (Tinlet), Universal Gas Constant (R), Specific Heat Ratio Dynamic (κ), Molar Mass (Mmolar), Exit pressure (Pa) & Inlet Pressure (Pinlet) and hit the calculate button. Here is how the Exit Velocity given Molar Mass calculation can be explained with given input values -> 97.22626 = sqrt(((2*15*8.314*1.392758)/(0.04401)/(1.392758-1))*((1-(2100000/20000000)^(1-(1/1.392758))))).

FAQ

What is Exit Velocity given Molar Mass?
The Exit Velocity given Molar Mass formula can be used to determine the exit velocity through the nozzle when the value of Molar Mass is known and is represented as c2 = sqrt(((2*Tinlet*R*κ)/(Mmolar)/(κ-1))*((1-(Pa/Pinlet)^(1-(1/κ))))) or Exit velocity = sqrt(((2*Inlet temperature*Universal Gas Constant*Specific Heat Ratio Dynamic)/(Molar Mass)/(Specific Heat Ratio Dynamic-1))*((1-(Exit pressure/Inlet Pressure)^(1-(1/Specific Heat Ratio Dynamic))))). Inlet temperature is the degree of measure of heat at inlet to the system, Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1, The Specific Heat Ratio Dynamic is the ratio of the heat capacity at constant pressure to heat capacity at constant volume, Molar Mass is the mass of a given substance divided by the amount of substance, Exit pressure is the pressure at the exit or the output or the end of a pipe or a flow channel & The Inlet Pressure is the amount of pressure generated inside the combustion chamber of a rocket.
How to calculate Exit Velocity given Molar Mass?
The Exit Velocity given Molar Mass formula can be used to determine the exit velocity through the nozzle when the value of Molar Mass is known is calculated using Exit velocity = sqrt(((2*Inlet temperature*Universal Gas Constant*Specific Heat Ratio Dynamic)/(Molar Mass)/(Specific Heat Ratio Dynamic-1))*((1-(Exit pressure/Inlet Pressure)^(1-(1/Specific Heat Ratio Dynamic))))). To calculate Exit Velocity given Molar Mass, you need Inlet temperature (Tinlet), Universal Gas Constant (R), Specific Heat Ratio Dynamic (κ), Molar Mass (Mmolar), Exit pressure (Pa) & Inlet Pressure (Pinlet). With our tool, you need to enter the respective value for Inlet temperature, Universal Gas Constant, Specific Heat Ratio Dynamic, Molar Mass, Exit pressure & Inlet Pressure 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 Exit velocity?
In this formula, Exit velocity uses Inlet temperature, Universal Gas Constant, Specific Heat Ratio Dynamic, Molar Mass, Exit pressure & Inlet Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Exit velocity = Mach Number*(Specific Heat Ratio*Universal Gas Constant*Exit temperature)^0.5
  • Exit velocity = sqrt((2*Total Temperature*Molar Specific Heat Capacity at Constant Pressure)*(1-(Exit pressure/Inlet Pressure)^(1-(1/Specific Heat Ratio Dynamic))))
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