HCF of three numbers

Local Sonic or Acoustic Velocity at Ambient Air Conditions Calculator

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Air Refrigeration Systems Air Refrigeration Cycles

✖Heat Capacity Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume in air refrigeration systems.ⓘ Heat Capacity Ratio [γ]			+10% -10%
✖Initial Temperature is the temperature of air at the starting point of the refrigeration process, typically measured in degrees Celsius or Fahrenheit.ⓘ Initial Temperature [T_i]			+10% -10%
✖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.ⓘ Molecular Weight [MW]			+10% -10%

✖Sonic Velocity is the speed of sound in a given medium, typically air, which is essential in air refrigeration systems for efficient heat transfer.ⓘ Local Sonic or Acoustic Velocity at Ambient Air Conditions [a]

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Local Sonic or Acoustic Velocity at Ambient Air Conditions Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5
a = (γ*[R]*T_i/MW)^0.5
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Sonic Velocity - (Measured in Meter per Second) - Sonic Velocity is the speed of sound in a given medium, typically air, which is essential in air refrigeration systems for efficient heat transfer.
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.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the temperature of air at the starting point of the refrigeration process, typically measured in degrees Celsius or Fahrenheit.
Molecular Weight - (Measured in Kilogram) - 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.

STEP 1: Convert Input(s) to Base Unit

Heat Capacity Ratio: 1.4 --> No Conversion Required
Initial Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Molecular Weight: 0.0307 Kilogram --> 0.0307 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (γ*[R]*T_i/MW)^0.5 --> (1.4*[R]*305/0.0307)^0.5

Evaluating ... ...

a = 340.064926639996

STEP 3: Convert Result to Output's Unit

340.064926639996 Meter per Second --> No Conversion Required

FINAL ANSWER

340.064926639996 ≈ 340.0649 Meter per Second <-- Sonic Velocity

(Calculation completed in 00.004 seconds)

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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LaTeX Go Temperature Ratio = 1+(Velocity^2*(Heat Capacity Ratio-1))/(2*Heat Capacity Ratio*[R]*Initial Temperature)

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LaTeX Go Ram Efficiency = (Stagnation Pressure of System-Initial Pressure of System)/(Final Pressure of System-Initial Pressure of System)

Local Sonic or Acoustic Velocity at Ambient Air Conditions

LaTeX Go Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5

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LaTeX Go Initial Mass = (Rate of Heat Removal*Time in Minutes)/Latent Heat of Vaporization

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LaTeX Go Relative Coefficient of Performance = Actual Coefficient of Performance/Theoretical Coefficient of Performance

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Theoretical Coefficient of Performance of Refrigerator

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Local Sonic or Acoustic Velocity at Ambient Air Conditions Formula

LaTeX Go

Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5
a = (γ*[R]*T_i/MW)^0.5

What is Local Sonic or Acoustic Velocity?

Local sonic or acoustic velocity is the speed at which sound waves travel through a specific medium at a given point. In the context of air refrigeration systems, it refers to the speed of sound in the air at that particular location, which can be influenced by factors such as temperature, pressure, and composition of the air. This velocity is important in understanding the behavior of sound and pressure waves within the system.

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

Local Sonic or Acoustic Velocity at Ambient Air Conditions calculator uses Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5 to calculate 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 calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions using this online calculator? To use this online calculator 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. Here is how the Local Sonic or Acoustic Velocity at Ambient Air Conditions calculation can be explained with given input values -> 340.0649 = (1.4*[R]*305/0.0307)^0.5.

FAQ

What is Local Sonic or Acoustic Velocity at Ambient Air Conditions?

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 and is represented as a = (γ*[R]*T_i/MW)^0.5 or Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5. Heat Capacity Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume in air refrigeration systems, Initial Temperature is the temperature of air at the starting point of the refrigeration process, typically measured in degrees Celsius or Fahrenheit & 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.

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

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 is calculated using Sonic Velocity = (Heat Capacity Ratio*[R]*Initial Temperature/Molecular Weight)^0.5. To calculate Local Sonic or Acoustic Velocity at Ambient Air Conditions, you need Heat Capacity Ratio (γ), Initial Temperature (T_i) & Molecular Weight (MW). With our tool, you need to enter the respective value for Heat Capacity Ratio, Initial Temperature & Molecular Weight 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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