Mayer's Formula Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume
R = Cp-Cv
This formula uses 3 Variables
Variables Used
Specific Gas Constant - (Measured in Joule per Kilogram per K) - The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.
Specific Heat Capacity at Constant Pressure - (Measured in Joule per Kilogram per K) - Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure.
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.
STEP 1: Convert Input(s) to Base Unit
Specific Heat Capacity at Constant Pressure: 1005 Joule per Kilogram per K --> 1005 Joule per Kilogram per K No Conversion Required
Specific Heat Capacity at Constant Volume: 732 Joule per Kilogram per K --> 732 Joule per Kilogram per K No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = Cp-Cv --> 1005-732
Evaluating ... ...
R = 273
STEP 3: Convert Result to Output's Unit
273 Joule per Kilogram per K --> No Conversion Required
FINAL ANSWER
273 Joule per Kilogram per K <-- Specific Gas Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Verified by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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18 Governing Equations and Sound Wave Calculators

Speed of Sound Downstream of Sound Wave
Go Sound Speed Downstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Upstream of Sound^2-Flow Velocity Downstream of Sound^2)/2+Sound Speed Upstream^2/(Specific Heat Ratio-1)))
Speed of Sound Upstream of Sound Wave
Go Sound Speed Upstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Downstream of Sound^2-Flow Velocity Upstream of Sound^2)/2+Sound Speed Downstream^2/(Specific Heat Ratio-1)))
Flow Velocity Downstream of Sound Wave
Go Flow Velocity Downstream of Sound = sqrt(2*((Sound Speed Upstream^2-Sound Speed Downstream^2)/(Specific Heat Ratio-1)+Flow Velocity Upstream of Sound^2/2))
Flow Velocity Upstream of Sound Wave
Go Flow Velocity Upstream of Sound = sqrt(2*((Sound Speed Downstream^2-Sound Speed Upstream^2)/(Specific Heat Ratio-1)+Flow Velocity Downstream of Sound^2/2))
Ratio of Stagnation and Static Pressure
Go Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))
Critical Pressure
Go Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure
Stagnation Temperature
Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)
Speed of Sound
Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)
Ratio of Stagnation and Static Density
Go Stagnation to Static Density = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(1/(Specific Heat Ratio-1))
Critical Density
Go Critical Density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))
Mayer's Formula
Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume
Ratio of Stagnation and Static Temperature
Go Stagnation to Static Temperature = 1+((Specific Heat Ratio-1)/2)*Mach Number^2
Critical Temperature
Go Critical Temperature = (2*Stagnation Temperature)/(Specific Heat Ratio+1)
Isentropic Compressibility for given Density and Speed of Sound
Go Isentropic Compressibility = 1/(Density*Speed of Sound^2)
Mach Number
Go Mach Number = Speed of Object/Speed of Sound
Speed of Sound given Isentropic Change
Go Speed of Sound = sqrt(Isentropic Change)
Mach Angle
Go Mach Angle = asin(1/Mach Number)
Isentropic Change across Sound Wave
Go Isentropic Change = Speed of Sound^2

Mayer's Formula Formula

Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume
R = Cp-Cv

Who proposed Mayer's formula?

Julius Robert von Mayer (25 November 1814 – 20 March 1878) proposed Mayer's formula. He was a German physician, chemist, and physicist and one of the founders of thermodynamics.

How to Calculate Mayer's Formula?

Mayer's Formula calculator uses Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume to calculate the Specific Gas Constant, Mayer's formula relates the specific gas constant to the specific heat for a calorically perfect gas and specific heat for a thermally perfect gas. Specific Gas Constant is denoted by R symbol.

How to calculate Mayer's Formula using this online calculator? To use this online calculator for Mayer's Formula, enter Specific Heat Capacity at Constant Pressure (Cp) & Specific Heat Capacity at Constant Volume (Cv) and hit the calculate button. Here is how the Mayer's Formula calculation can be explained with given input values -> 255 = 1005-732.

FAQ

What is Mayer's Formula?
Mayer's formula relates the specific gas constant to the specific heat for a calorically perfect gas and specific heat for a thermally perfect gas and is represented as R = Cp-Cv or Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume. Specific Heat Capacity at Constant Pressure means the amount of heat that is required to raise the temperature of a unit mass of gas by 1 degree at constant pressure & 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.
How to calculate Mayer's Formula?
Mayer's formula relates the specific gas constant to the specific heat for a calorically perfect gas and specific heat for a thermally perfect gas is calculated using Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume. To calculate Mayer's Formula, you need Specific Heat Capacity at Constant Pressure (Cp) & Specific Heat Capacity at Constant Volume (Cv). With our tool, you need to enter the respective value for Specific Heat Capacity at Constant Pressure & Specific Heat Capacity at Constant Volume 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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