Respuesta :
Answer:
m = 0.04955 kg/h
Explanation:
Given data:
Assume Thickness of sheet = 4.3 mm
and area of 0.25 m^2
Temperature = 500 degree C
Mass of hydrogen/ hr can be calculated as
[tex]m = \frac{DA(C_1 -C_2)}{L} \times t[/tex]
Where,
D - Diffusion constant[tex] = 8.9\times 10^{-8} m^2/s \frac{3600 m^2/h}{1 m^2/s}[/tex]
A - Area of sheet = 0.25 m^2
L - thickness = 4.3 mm = 4.3 \times 10^{-3} m
[tex]C_1[/tex] = Higher preesure side concentration of hydrogen = 3.3 kg/m^3
[tex]C_2[/tex] = low pressure side concentration of hydrogen = 0.64 kg/m^3
t =1 hr
therefore m value is [tex]m = \frac{3.3 - 0.64}{1.3\times ^{-3}} \times 8.9\times 10^{-8}\times 0.25\times 3600 \times 1[/tex]
m = 0.04955 kg/h
The number of kilograms of hydrogen that pass per hour through a thick sheet of palladium having an area and thickness listed above at 500C is; 0.0778 kh/h
How to Calculate the Mass yield of a Gas
This question wants us to find the mass of hydrogen, per hour, that diffuses through a Pd sheet. Thus, to find the mass yield, we will use the formula;
M = JAt = -DAt(ΔC/Δx)
where;
D is diffusion coefficient
At is Area
ΔC is change in concentration
Δx is thickness
We are given;
D = 8.9 × 10⁻⁸ m²/s = 8.9 × 3600 × 10⁻⁸ m²/h
Δx = 4.6 mm = 4.6 × 10⁻³ m
At = 0.42 m²
We are told that concentrations at the high- and low-pressure sides of the plates are 3.3 and 0.64 kg/m³. Thus;
ΔC = 0.64 - 3.3
ΔC = -2.66 kg/m³
Thus;
M = -8.9 × 3600 × 10⁻⁸ × 0.42 × (-2.66/(4.6 × 10⁻³))
M = 0.0778 kg/h
Read more about mass yield of a gas at; https://brainly.com/question/21091465
