Gas constant given dynamic pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature)
R = (2*q)/(ρ*M^2*Y*T)
This formula uses 6 Variables
Variables Used
Specific Gas Constant - (Measured in Joule per Kilogram per K) - Specific Gas Constant (R) is the constant for a particular gas, representing the amount of energy required to raise the temperature of one unit of the gas by one degree Kelvin (or Celsius) per mole.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.
Ambient Air Density - (Measured in Kilogram per Cubic Meter) - Ambient Air Density refers to the density of the air surrounding an object or within a particular environment.
Mach Number - Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Static Temperature - (Measured in Kelvin) - Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.
STEP 1: Convert Input(s) to Base Unit
Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Ambient Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Mach Number: 8 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Static Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (2*q)/(ρ*M^2*Y*T) --> (2*10)/(1.225*8^2*1.4*85)
Evaluating ... ...
R = 0.00214371462870863
STEP 3: Convert Result to Output's Unit
0.00214371462870863 Joule per Kilogram per K --> No Conversion Required
FINAL ANSWER
0.00214371462870863 0.002144 Joule per Kilogram per K <-- Specific Gas Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Himanshu Sharma
National Institute of Technology, Hamirpur (NITH), Himachal Pradesh
Himanshu Sharma has created this Calculator and 50+ more calculators!
Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
Kartikay Pandit has verified this Calculator and 400+ more calculators!

14 Atmosphere and Gas Properties Calculators

Mach Number given Dynamic Pressure
Go Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature))
Ambient Air Density given Mach Number and Temperature
Go Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)
Temperature given Dynamic Pressure and Mach Number
Go Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio)
Gas constant given dynamic pressure
Go Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature)
Equivalent Airspeed given Static Pressure
Go Equivalent Airspeed = Sonic Speed at Sea Level*Mach Number*(Static Pressure*6894.7573/Static Sea Level Pressure)^(0.5)
Geometric altitude for given geopotential altitude
Go Geometric Altitude = [Earth-R]*Geopotential altitude/([Earth-R]-Geopotential altitude)
Geopotential altitude
Go Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude)
Mach Number given Static and Dynamic Pressure
Go Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio))
Ambient Pressure given Dynamic Pressure and Mach Number
Go Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2)
Ambient air density given mach number
Go Ambient Air Density = 2*Dynamic Pressure/(Mach Number*Sonic Speed)^2
Ambient air density given dynamic pressure
Go Ambient Air Density = 2*Dynamic Pressure/(Flight Speed^2)
Lapse rate
Go Lapse Rate = Change in Temperature/Altitude difference
Geometric altitude
Go Geometric Altitude = Absolute Altitude-[Earth-R]
Absolute altitude
Go Absolute Altitude = Geometric Altitude+[Earth-R]

Gas constant given dynamic pressure Formula

Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature)
R = (2*q)/(ρ*M^2*Y*T)

What is gas constant?

The molar gas constant is denoted by the symbol R or R. It is the molar equivalent to the Boltzmann constant, expressed in units of energy per temperature increment per amount of substance, i.e. the pressure–volume product, rather than energy per temperature increment per particle.

How to Calculate Gas constant given dynamic pressure?

Gas constant given dynamic pressure calculator uses Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature) to calculate the Specific Gas Constant, The Gas constant given dynamic pressure formula is defined as the ideal gas constant of the world that is The value of Gas constant is R = 8.3144598(48) J⋅mol−1⋅K−1. Specific Gas Constant is denoted by R symbol.

How to calculate Gas constant given dynamic pressure using this online calculator? To use this online calculator for Gas constant given dynamic pressure, enter Dynamic Pressure (q), Ambient Air Density (ρ), Mach Number (M), Heat Capacity Ratio (Y) & Static Temperature (T) and hit the calculate button. Here is how the Gas constant given dynamic pressure calculation can be explained with given input values -> 0.002144 = (2*10)/(1.225*8^2*1.4*85).

FAQ

What is Gas constant given dynamic pressure?
The Gas constant given dynamic pressure formula is defined as the ideal gas constant of the world that is The value of Gas constant is R = 8.3144598(48) J⋅mol−1⋅K−1 and is represented as R = (2*q)/(ρ*M^2*Y*T) or Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature). Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid, Ambient Air Density refers to the density of the air surrounding an object or within a particular environment, Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium, The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.
How to calculate Gas constant given dynamic pressure?
The Gas constant given dynamic pressure formula is defined as the ideal gas constant of the world that is The value of Gas constant is R = 8.3144598(48) J⋅mol−1⋅K−1 is calculated using Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature). To calculate Gas constant given dynamic pressure, you need Dynamic Pressure (q), Ambient Air Density (ρ), Mach Number (M), Heat Capacity Ratio (Y) & Static Temperature (T). With our tool, you need to enter the respective value for Dynamic Pressure, Ambient Air Density, Mach Number, Heat Capacity Ratio & Static Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!