To enhance the effective surface, and hence the chemical reaction rate, catalytic surfaces often take the form of porous solids.
One such solid may be visualized as consisting of a larger number of cylindrical pores, each of diameter D and length L.
Consider conditions involving a gaseous mixture of A and B for which species A is chemically consumed at the catalytic surface. The reaction is known to be first order k1CA. Under steady state, flow over the porous solid is known to maintain a fixed value of the molar concentration CA0 at the pore mouth.
Beginning from fundamentals, obtain the differential equation that governs the variation of CA with distance x along the pore. Applying appropriate boundary conditions, solve the equation to obtain an expression for CA(x).
Consider conditions involving a gaseous mixture of A and B for which species A is chemically consumed at the catalytic surface. The reaction is known to be first order k1CA. Under steady state, flow over the porous solid is known to maintain a fixed value of the molar concentration CA0 at the pore mouth.
Beginning from fundamentals, obtain the differential equation that governs the variation of CA with distance x along the pore. Applying appropriate boundary conditions, solve the equation to obtain an expression for CA(x).
1 answer:
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Answer:
a) 0.1832 A
b) 11.91 Volts
c) 2.18 Watt , 0.0168 Watt
Explanation:
(a)
R = external resistor connected to the terminals of the battery = 65 Ω
E = Emf of the battery = 12.0 Volts
r = internal resistance of the battery = 0.5 Ω
i = current flowing in the circuit
Using ohm's law
E = i (R + r)
12 = i (65 + 0.5)
i = 0.1832 A
(b)
Terminal voltage is given as
= i R
= (0.1832) (65)
= 11.91 Volts
(c)
Power dissipated in the resister R is given as
= i²R
= (0.1832)²(65)
= 2.18 Watt
Power dissipated in the internal resistance is given as
= i²r
= (0.1832)²(0.5)
= 0.0168 Watt