Solution Found!
Energy Analysis of Control Volumes at Steady StateHelium
Chapter 4, Problem 35P(choose chapter or problem)
Helium gas flows through a well-insulated nozzle at steady state. The temperature and velocity at the inlet are \(550^{\circ} \mathrm{R}\) and \(150 \mathrm{ft} / \mathrm{s}\), respectively. At the exit, the temperature is \(400^{\circ} \mathrm{R}\) and the pressure is \(40 \mathrm{lbf} / \mathrm{in}^2\). The area of the exit is \(0.0085 \mathrm{ft}^2\). Using the ideal gas model with k = 1.67, and neglecting potential energy effects, determine the mass flow rate, in \(\mathrm{lb} / \mathrm{s}\), through the nozzle.
Questions & Answers
QUESTION:
Helium gas flows through a well-insulated nozzle at steady state. The temperature and velocity at the inlet are \(550^{\circ} \mathrm{R}\) and \(150 \mathrm{ft} / \mathrm{s}\), respectively. At the exit, the temperature is \(400^{\circ} \mathrm{R}\) and the pressure is \(40 \mathrm{lbf} / \mathrm{in}^2\). The area of the exit is \(0.0085 \mathrm{ft}^2\). Using the ideal gas model with k = 1.67, and neglecting potential energy effects, determine the mass flow rate, in \(\mathrm{lb} / \mathrm{s}\), through the nozzle.
ANSWER:Solution 35P:
Step 1 of 5:-
Here we need to find the mass flow rate of helium through the nozzle.
The velocity of the gas is: .
The temperature is: .
At the exit the temperature is: .
The pressure is: .
The area of the exit is: .
The value of k is: .
The value of the gas constant for helium is: