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Gas constant given dynamic pressure Formula

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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. Check FAQs

R = \frac{2 \cdot q}{ρ \cdot M^{2} \cdot Y \cdot T}

R - Specific Gas Constant?q - Dynamic Pressure?ρ - Ambient Air Density?M - Mach Number?Y - Heat Capacity Ratio?T - Static Temperature?

Gas constant given dynamic pressure Example

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Here is how the Gas constant given dynamic pressure equation looks like with Values.

Here is how the Gas constant given dynamic pressure equation looks like with Units.

Here is how the Gas constant given dynamic pressure equation looks like.

4.1052 = \frac{2 \cdot 10}{1.225 \cdot {0.23}^{2} \cdot 1.4 \cdot 53.7}

4.1052J/(kg*K) = \frac{2 \cdot 10Pa}{1.225kg/m³ \cdot {0.23}^{2} \cdot 1.4 \cdot 53.7K}

4.1052 = \frac{2 \cdot 10}{1.225 \cdot {0.23}^{2} \cdot 1.4 \cdot 53.7}

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Gas constant given dynamic pressure Solution

Follow our step by step solution on how to calculate Gas constant given dynamic pressure?

FIRST Step Consider the formula

R = \frac{2 \cdot q}{ρ \cdot M^{2} \cdot Y \cdot T}

Next Step Substitute values of Variables

∴

R = \frac{2 \cdot 10Pa}{1.225kg/m³ \cdot {0.23}^{2} \cdot 1.4 \cdot 53.7K}

Next Step Prepare to Evaluate

∴

R = \frac{2 \cdot 10}{1.225 \cdot {0.23}^{2} \cdot 1.4 \cdot 53.7}

Next Step Evaluate

∴

R = 4.10521506097902J/(kg*K)

LAST Step Rounding Answer

∴

R = 4.1052J/(kg*K)

Gas constant given dynamic pressure Formula Elements

Variables

Specific Gas Constant

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.

Symbol: R

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Gas Constant

Dynamic Pressure

Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.

Symbol: q

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Ambient Air Density

Ambient Air Density refers to the density of the air surrounding an object or within a particular environment.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Ambient Air Density

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.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

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.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Static Temperature

Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Static Temperature

Other formulas in Atmosphere and Gas Properties category

Go Absolute altitude

h a = h G + [Earth-R]

Go Geometric altitude

h G = h a - [Earth-R]

Go Geopotential altitude

h = [Earth-R] \cdot \frac{h G}{[Earth-R] + h G}

Go Geometric altitude for given geopotential altitude

h G = [Earth-R] \cdot \frac{h}{[Earth-R] - h}

How to Evaluate Gas constant given dynamic pressure?

Gas constant given dynamic pressure evaluator uses Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature) to evaluate the Specific Gas Constant, Gas Constant given Dynamic Pressure is a measurement that relates the dynamic pressure of a gas to its thermodynamic properties, providing a fundamental constant that characterizes the behavior of ideal gases, this constant is essential in understanding the relationships between pressure, volume, and temperature in ideal gases, and has numerous applications in fields such as aerospace engineering, chemical engineering, and physics. Specific Gas Constant is denoted by R symbol.

How to evaluate Gas constant given dynamic pressure using this online evaluator? To use this online evaluator 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.

FAQs on Gas constant given dynamic pressure

What is the formula to find Gas constant given dynamic pressure?

The formula of Gas constant given dynamic pressure is expressed as Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature). Here is an example- 537.683 = (2*10)/(1.225*0.23^2*1.4*53.7).

How to calculate Gas constant given dynamic pressure?

With Dynamic Pressure (q), Ambient Air Density (ρ), Mach Number (M), Heat Capacity Ratio (Y) & Static Temperature (T) we can find Gas constant given dynamic pressure using the formula - Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature).

Can the Gas constant given dynamic pressure be negative?

No, the Gas constant given dynamic pressure, measured in Specific Heat Capacity cannot be negative.

Which unit is used to measure Gas constant given dynamic pressure?

Gas constant given dynamic pressure is usually measured using the Joule per Kilogram per K[J/(kg*K)] for Specific Heat Capacity. Joule per Kilogram per Celcius[J/(kg*K)], Kilojoule per Kilogram per K[J/(kg*K)], Kilojoule per Kilogram per Celcius[J/(kg*K)] are the few other units in which Gas constant given dynamic pressure can be measured.

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Gas constant given dynamic pressure Formula

Gas constant given dynamic pressure Example

Gas constant given dynamic pressure Solution

Gas constant given dynamic pressure Formula Elements

Other formulas in Atmosphere and Gas Properties category

How to Evaluate Gas constant given dynamic pressure?

FAQs on Gas constant given dynamic pressure

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