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MMLU-Pro / 11635 / A vessel which contains gases A and B at 1atmand 40°F is connectedto another…

Problem

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question

A vessel which contains gases A and B at 1atmand 40°F is connectedto another vessel with a different concentration of thegases at the same conditions of pressure and temperature. The vessels are connected by a 9 in. long tube ofinside diameter 1.5 in. (I)Determinethe steady state rate of transport of gas A betweenthe vessels if the concentration of A in one tank is 85 mole percent and that in the other is 7 mole percent. Transfer occurs by molecular diffusion and the diffusivity is D_AB = 1.75 ft^2 / hr. (II) The tanks are now at 5 and 70°F. Obtain the rate of heat transferby molecular transport. The following properties are given: \rho = gas density = 0.07 lb / ft^3 C_p = heat capacity of gas = 0.30 Btu /lb°F \alpha = thermal diffusivity = 1.75 ft^2 / hr

category

engineering

options

  1. N_A = 8.0 × 10^-5 lb moles / hr, q = 0.065 Btu / hr
  2. N_A = 7.0 × 10^-5 lb moles / hr, q = 0.02 Btu / hr
  3. N_A = 5.0 × 10^-5 lb moles / hr, q = 0.03 Btu / hr
  4. N_A = 6.07 × 10^-5 lb moles / hr, q = 0.04187 Btu / hr
  5. N_A = 4.8 × 10^-5 lb moles / hr, q = 0.035 Btu / hr
  6. N_A = 6.2 × 10^-5 lb moles / hr, q = 0.045 Btu / hr
  7. N_A = 4.5 × 10^-5 lb moles / hr, q = 0.04 Btu / hr
  8. N_A = 6.5 × 10^-5 lb moles / hr, q = 0.05 Btu / hr
  9. N_A = 3.5 × 10^-5 lb moles / hr, q = 0.025 Btu / hr
  10. N_A = 5.5 × 10^-5 lb moles / hr, q = 0.06 Btu / hr

src

stemez-TransportPhenomena

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Source and history

upstream_id / Original problem ID
11635
task_id
db5d18b8-18ef-513f-825e-129aeaab3660
task_key
default--test--11635
task_revision_id
1
config / split
default / test

Official source

initial import