1. (10 points) Pulverized coal pellets, which may be ° approximated as carbon spheres of radius r = 1 mm, are burned in a pure oxygen atmosphere at 1450 K and 1 atm. Oxygen is transferred to the particle surface by diffusion, where it is consumed in the reaction C + O₂ →> CO₂. The reaction rate is first order and of the form No2 = k₁C₁₂(r), where k₁ = 0.1 m/s. Neglecting changes in r, determine the steady-state O₂ molar consumption rate in kmol/s. At 1450 K, the binary diffusion coefficient for O2 and CO2 is 1.71 x 10ª m²/s.

Curren'S Math For Meds: Dosages & Sol
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Chapter10: Reconstitution Of Powdered Drugs
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1. (10 points) Pulverized coal pellets, which may be
°
approximated as carbon spheres of radius r = 1 mm, are
burned in a pure oxygen atmosphere at 1450 K and 1 atm.
Oxygen is transferred to the particle surface by diffusion, where
it is consumed in the reaction C + O₂ →> CO₂. The reaction rate
is first order and of the form No2 = k₁C₁₂(r), where k₁ = 0.1 m/s.
Neglecting changes in r, determine the steady-state O₂ molar
consumption rate in kmol/s. At 1450 K, the binary diffusion
coefficient for O2 and CO2 is 1.71 x 10ª m²/s.
Transcribed Image Text:1. (10 points) Pulverized coal pellets, which may be ° approximated as carbon spheres of radius r = 1 mm, are burned in a pure oxygen atmosphere at 1450 K and 1 atm. Oxygen is transferred to the particle surface by diffusion, where it is consumed in the reaction C + O₂ →> CO₂. The reaction rate is first order and of the form No2 = k₁C₁₂(r), where k₁ = 0.1 m/s. Neglecting changes in r, determine the steady-state O₂ molar consumption rate in kmol/s. At 1450 K, the binary diffusion coefficient for O2 and CO2 is 1.71 x 10ª m²/s.
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