By following these steps and using the properties and equations for the given conditions, you can determine the mass flow rate of Refrigerant 134a through the tube.
To determine the mass flow rate of Refrigerant 134a through the tube, follow these steps:
Identify Known Values:
Inside diameter of the tube (d) = 0.05 m
Quality of refrigerant at entry (x) = 0.1
Entry temperature (T1) = 36°C = 36 + 273.15 = 309.15 K
Entry velocity (V1) = 2 m/s
Exit pressure (P2) = 9 bar
Find State at Entry:
Use a refrigerant table to determine the properties at the entry condition (P1, T1) using the given quality.
Calculate Area:
Calculate the cross-sectional area of the tube using the inside diameter (A = π × (d/2)^2).
Apply Mass Flow Equation:
Mass flow rate (ṁ) = ρ ×A × V1
ρ = Density of refrigerant at entry
A = Cross-sectional area of the tube
V1 = Entry velocity
Calculate Density at Entry:
Using refrigerant properties at entry (P1, T1), find density (ρ) of refrigerant.
Substitute Values:
Substitute the calculated density, area, and velocity into the mass flow rate equation to find ṁ.
Final Calculation:
Calculate the mass flow rate of the refrigerant in kg/s.
By following these steps and using the properties and equations for the given conditions, you can determine the mass flow rate of Refrigerant 134a through the tube.
Complete Question:
Refrigerant 134a flows at steady state through a horizontal tube having an inside diameter of 0.05 m. The refrigerantenters the tube with a quality of 0.1, temperature of 36°C, and velocity of 2 m/s. The refrigerant exits the tube at 9 bar as a saturated liquid Determine the mass flow rate of the refrigerant, in kg/s.