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The isentropic process for an ideal gas is expressed as

Chapter 2, Problem 61P

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QUESTION:

Problem 61P

The isentropic process for an ideal gas is expressed as PVk = constant. Using this process equation and the definition of the speed of sound (Eq. 9-1), obtain the expression for the speed of sound for an ideal gas (Eq. 9-3).

eq.9-1

eq. 9-3

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QUESTION:

Problem 61P

The isentropic process for an ideal gas is expressed as PVk = constant. Using this process equation and the definition of the speed of sound (Eq. 9-1), obtain the expression for the speed of sound for an ideal gas (Eq. 9-3).

eq.9-1

eq. 9-3

ANSWER:

Step 1:

        To obtain the speed of sound for an ideal gas

        Consider the process is isentropic and the gas equation can be written as

        = Constant -----(1)

        Where P - Pressure of the gas

                V - Volume of the gas

                k - ratio of specific heat capacities

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