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A spherical droplet of methane (2cm in diameter) is burned in pure oxygen atmosphere at 2000 K and 3 atm. Oxygen is transferred to the surface by diffusion, where it is consumed by the reaction:
CH4 + 2O2 → 2H2O+CO2
This surface reaction can be assumed to be instantaneous. At 2000 K, the diffusion coefficient for each of the species (H2O, CO2 and O2) in the remaining species can be assumed constant at 3.54 x 10-4 m2/s. Assume ideal gas behavior, a one-dimensional diffusion with constant properties, negligible CH4 evaporation and negligible convection. Calculate the steady-state O2molar consumption rate in mol/s.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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