Question

a) [1 pt] Consider that the resistance is a capillary tube having a length L = 2.83 m and inner diameter D = 3.18 mm. Assume that the flow in the capillary tube is laminar for most of its length, and that the resistance can be modeled using the Hagen-Poiseuille formula (Equation 7.3.12). Determine a numerical value for the resistance R using nitrogen as the fluid. Note: At 25°C and atmospheric pressure $\mu_{N_2}$ = 1.77 × 10?? Ns/m² $\rho_{N_2}$ = 1.145 kg/m³ R = b) [1 pt] Compute the time constant $\tau$ if the discharge process occurs through this capillary tube. The volume of the tank is V = 7.57 x 10?³ m³ (2 gallons), and at room temperature (25°C) and at atmospheric pressure the gas constant for Nitrogen is Rg = 296.8 (Nm)/(kg·K). $\tau$ = c) [1 pt] Determine p vs. t following the sudden opening of the valve and the initiation of the discharge process through this capillary tube. Assume that the initial gage pressure is 3.447 × 10? N/m² (50 psi) and the discharge occurs sufficiently slowly that the process may be considered isothermal. p(t) =

          a) [1 pt] Consider that the resistance is a capillary tube having a length L = 2.83 m and inner diameter D = 3.18 mm. Assume that the flow in the capillary tube is laminar for most of its length, and that the resistance can be modeled using the Hagen-Poiseuille formula (Equation 7.3.12). Determine a numerical value for the resistance R using nitrogen as the fluid.
Note: At 25°C and atmospheric pressure
$\mu_{N_2}$ = 1.77 × 10?? Ns/m²
$\rho_{N_2}$ = 1.145 kg/m³
R =
b) [1 pt] Compute the time constant $\tau$ if the discharge process occurs through this capillary tube. The volume of the tank is V = 7.57 x 10?³ m³ (2 gallons), and at room temperature (25°C) and at atmospheric pressure the gas constant for Nitrogen is Rg = 296.8 (Nm)/(kg·K).
$\tau$ =
c) [1 pt] Determine p vs. t following the sudden opening of the valve and the initiation of the discharge process through this capillary tube. Assume that the initial gage pressure is 3.447 × 10? N/m² (50 psi) and the discharge occurs sufficiently slowly that the process may be considered isothermal.
p(t) =

a) [1 pt] Consider that the resistance is a capillary tube having a length L = 2.83 m and inner diameter D = 3.18 mm. Assume that the flow in the capillary tube is laminar for most of its length, and that the resistance can be modeled using the Hagen-Poiseuille formula (Equation 7.3.12). Determine a numerical value for the resistance R using nitrogen as the fluid.
Note: At 25°C and atmospheric pressure
μN2 = 1.77 × 10?? Ns/m²
ρN2 = 1.145 kg/m³
R =
b) [1 pt] Compute the time constant τ if the discharge process occurs through this capillary tube. The volume of the tank is V = 7.57 x 10?³ m³ (2 gallons), and at room temperature (25°C) and at atmospheric pressure the gas constant for Nitrogen is Rg = 296.8 (Nm)/(kg·K).
τ =
c) [1 pt] Determine p vs. t following the sudden opening of the valve and the initiation of the discharge process through this capillary tube. Assume that the initial gage pressure is 3.447 × 10? N/m² (50 psi) and the discharge occurs sufficiently slowly that the process may be considered isothermal.
p(t) =

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