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Local Sonic or Acoustic Velocity at Ambient Air Conditions Formula

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Sonic Velocity is the speed of sound in a given medium, typically air, which is essential in air refrigeration systems for efficient heat transfer. Check FAQs

a = {(γ \cdot [R] \cdot \frac{T i}{MW})}^{0.5}

a - Sonic Velocity?γ - Heat Capacity Ratio?T_i - Initial Temperature?MW - Molecular Weight?[R] - Universal gas constant?

Local Sonic or Acoustic Velocity at Ambient Air Conditions Example

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Here is how the Local Sonic or Acoustic Velocity at Ambient Air Conditions equation looks like with Values.

Here is how the Local Sonic or Acoustic Velocity at Ambient Air Conditions equation looks like with Units.

Here is how the Local Sonic or Acoustic Velocity at Ambient Air Conditions equation looks like.

340.0649 = {(1.4 \cdot 8.3145 \cdot \frac{305}{0.0307})}^{0.5}

340.0649m/s = {(1.4 \cdot 8.3145 \cdot \frac{305K}{0.0307kg})}^{0.5}

340.0649 = {(1.4 \cdot 8.3145 \cdot \frac{305}{0.0307})}^{0.5}

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Local Sonic or Acoustic Velocity at Ambient Air Conditions Solution

Follow our step by step solution on how to calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions?

FIRST Step Consider the formula

a = {(γ \cdot [R] \cdot \frac{T i}{MW})}^{0.5}

Next Step Substitute values of Variables

∴

a = {(1.4 \cdot [R] \cdot \frac{305K}{0.0307kg})}^{0.5}

Next Step Substitute values of Constants

∴

a = {(1.4 \cdot 8.3145 \cdot \frac{305K}{0.0307kg})}^{0.5}

Next Step Prepare to Evaluate

∴

a = {(1.4 \cdot 8.3145 \cdot \frac{305}{0.0307})}^{0.5}

Next Step Evaluate

∴

a = 340.064926639996m/s

LAST Step Rounding Answer

∴

a = 340.0649m/s

Local Sonic or Acoustic Velocity at Ambient Air Conditions Formula Elements

Variables

Constants

Sonic Velocity

Sonic Velocity is the speed of sound in a given medium, typically air, which is essential in air refrigeration systems for efficient heat transfer.

Symbol: a

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Sonic Velocity

Heat Capacity Ratio

Heat Capacity Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume in air refrigeration systems.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Initial Temperature

Initial Temperature is the temperature of air at the starting point of the refrigeration process, typically measured in degrees Celsius or Fahrenheit.

Symbol: T_i

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Initial Temperature

Molecular Weight

Molecular Weight is the mass of a molecule of a substance, typically expressed in units of u or g/mol, used in air refrigeration systems.

Symbol: MW

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Molecular Weight

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other formulas in Air Refrigeration Systems category

Go Energy Performance Ratio of Heat Pump

COP theoretical = \frac{Q delivered}{W per min}

Go Relative Coefficient of Performance

COP relative = \frac{COP actual}{COP theoretical}

Go Theoretical Coefficient of Performance of Refrigerator

COP theoretical = \frac{Q ref}{w}

Go Compression or Expansion Ratio

r p = \frac{P 2}{P 1}

How to Evaluate Local Sonic or Acoustic Velocity at Ambient Air Conditions?

Local Sonic or Acoustic Velocity at Ambient Air Conditions evaluator uses Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5 to evaluate the Sonic Velocity, Local Sonic or Acoustic Velocity at Ambient Air Conditions formula is defined as the speed of sound in air under ambient conditions, which is a critical parameter in refrigeration and air conditioning systems, as it affects the performance and design of compressors, fans, and other equipment. Sonic Velocity is denoted by a symbol.

How to evaluate Local Sonic or Acoustic Velocity at Ambient Air Conditions using this online evaluator? To use this online evaluator for Local Sonic or Acoustic Velocity at Ambient Air Conditions, enter Heat Capacity Ratio (γ), Initial Temperature (T_i) & Molecular Weight (MW) and hit the calculate button.

FAQs on Local Sonic or Acoustic Velocity at Ambient Air Conditions

What is the formula to find Local Sonic or Acoustic Velocity at Ambient Air Conditions?

The formula of Local Sonic or Acoustic Velocity at Ambient Air Conditions is expressed as Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5. Here is an example- 340.0649 = (1.4*[R]*305/0.0307)^0.5.

How to calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions?

With Heat Capacity Ratio (γ), Initial Temperature (T_i) & Molecular Weight (MW) we can find Local Sonic or Acoustic Velocity at Ambient Air Conditions using the formula - Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5. This formula also uses Universal gas constant .

Can the Local Sonic or Acoustic Velocity at Ambient Air Conditions be negative?

Yes, the Local Sonic or Acoustic Velocity at Ambient Air Conditions, measured in Speed can be negative.

Which unit is used to measure Local Sonic or Acoustic Velocity at Ambient Air Conditions?

Local Sonic or Acoustic Velocity at Ambient Air Conditions is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Local Sonic or Acoustic Velocity at Ambient Air Conditions can be measured.

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Local Sonic or Acoustic Velocity at Ambient Air Conditions Formula

Local Sonic or Acoustic Velocity at Ambient Air Conditions Example

Local Sonic or Acoustic Velocity at Ambient Air Conditions Solution

Local Sonic or Acoustic Velocity at Ambient Air Conditions Formula Elements

Other formulas in Air Refrigeration Systems category

How to Evaluate Local Sonic or Acoustic Velocity at Ambient Air Conditions?

FAQs on Local Sonic or Acoustic Velocity at Ambient Air Conditions

Variable Name