A nozzle receives an ideal gas flow with a velocity of 25 m/s, and the exit at 100 kPa, 300 K velocity is 250 m/s. Determine the inlet temperature if the gas is argon, helium, or nitrogen.

Given Information:

Inlet velocity = Vin = 25 m/s

Exit velocity = Vout = 250 m/s

Exit Temperature = Tout = 300K

Exit Pressure = Pout = 100 kPa

Required Information:

Inlet Temperature of argon = ?

Inlet Temperature of helium = ?

Inlet Temperature of nitrogen = ?

Inlet Temperature of argon = 360K

Inlet Temperature of helium = 306K

Inlet Temperature of nitrogen = 330K

Explanation:

Recall that the energy equation is given by

Where Cp is the specific heat constant of the gas.

Re-arranging the equation for inlet temperature

For Argon Gas:

The specific heat constant of argon is given by (from ideal gas properties table)

So, the inlet temperature of argon is

For Helium Gas:

The specific heat constant of helium is given by (from ideal gas properties table)

So, the inlet temperature of helium is

For Nitrogen Gas:

The specific heat constant of nitrogen is given by (from ideal gas properties table)

So, the inlet temperature of nitrogen is

Note: Answers are rounded to the nearest whole numbers.

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explanation:

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