Density of Material given Isentropic Compressibility Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density = 1/(Isentropic Compressibility*(Speed of Sound^2))
ρ = 1/(KS*(c^2))
This formula uses 3 Variables
Variables Used
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.
Isentropic Compressibility - (Measured in Square Meter per Newton) - The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy.
Speed of Sound - (Measured in Meter per Second) - Speed of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.
STEP 1: Convert Input(s) to Base Unit
Isentropic Compressibility: 70 Square Meter per Newton --> 70 Square Meter per Newton No Conversion Required
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = 1/(KS*(c^2)) --> 1/(70*(343^2))
Evaluating ... ...
ρ = 1.21426567890201E-07
STEP 3: Convert Result to Output's Unit
1.21426567890201E-07 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
1.21426567890201E-07 Kilogram per Cubic Meter <-- Density
(Calculation completed in 00.000 seconds)

Credits

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National Institute of Technology (NIT), Meghalaya
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K J Somaiya College of science (K J Somaiya), Mumbai
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Density of Material given Isentropic Compressibility
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Density of Material given Isentropic Compressibility Formula

Density = 1/(Isentropic Compressibility*(Speed of Sound^2))
ρ = 1/(KS*(c^2))

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Density of Material given Isentropic Compressibility?

Density of Material given Isentropic Compressibility calculator uses Density = 1/(Isentropic Compressibility*(Speed of Sound^2)) to calculate the Density, The Density of material given Isentropic compressibility is defined as material mass per unit volume and designated by the symbol ρ (rho). Density is denoted by ρ symbol.

How to calculate Density of Material given Isentropic Compressibility using this online calculator? To use this online calculator for Density of Material given Isentropic Compressibility, enter Isentropic Compressibility (KS) & Speed of Sound (c) and hit the calculate button. Here is how the Density of Material given Isentropic Compressibility calculation can be explained with given input values -> 1.2E-7 = 1/(70*(343^2)).

FAQ

What is Density of Material given Isentropic Compressibility?
The Density of material given Isentropic compressibility is defined as material mass per unit volume and designated by the symbol ρ (rho) and is represented as ρ = 1/(KS*(c^2)) or Density = 1/(Isentropic Compressibility*(Speed of Sound^2)). The Isentropic Compressibility is the change in volume due to change in pressure at constant entropy & Speed of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.
How to calculate Density of Material given Isentropic Compressibility?
The Density of material given Isentropic compressibility is defined as material mass per unit volume and designated by the symbol ρ (rho) is calculated using Density = 1/(Isentropic Compressibility*(Speed of Sound^2)). To calculate Density of Material given Isentropic Compressibility, you need Isentropic Compressibility (KS) & Speed of Sound (c). With our tool, you need to enter the respective value for Isentropic Compressibility & Speed of Sound and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Density?
In this formula, Density uses Isentropic Compressibility & Speed of Sound. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Pressure)
  • Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*(Molar Specific Heat Capacity at Constant Pressure-[R]))
  • Density = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*(Molar Specific Heat Capacity at Constant Volume+[R]))
  • Density = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Molar Specific Heat Capacity at Constant Volume)
  • Density = sqrt(((Relative Size of Fluctuations/Volume))/([BoltZ]*Isothermal Compressibility*Temperature))
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