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Given the integrated form of Fick's first law of diffusion: NA=hD(CAbCAS) Where NA is the mass transfer flux (mols m2s1 ), hD the mass transfer

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Given the integrated form of Fick's first law of diffusion: NA=hD(CAbCAS) Where NA is the mass transfer flux (mols m2s1 ), hD the mass transfer coefficient (ms1),CAb the concentration of reagent A in the bulk fluid and CAs the concentration of reagent A on the catalyst surface (both molsm3 ). (a) Show that the rate of reaction for a first order catalytic chemical reaction can be represented as Rv={1/k+1/hDa1}CAb Where Rv is the rate of catalytic chemical reaction (mols m3s1 ), k the first order rate constant (s1), the effectiveness factor and a the specific surface area of the catalyst particle (m2m3). [5 marks] (b) When the rate of mass transfer is very high, how would the expression derived in part (a) change? Explain what is physically/chemically occurring. [3 marks] (c) When the chemical reaction rate is fast, how would the expression derived in part (a) change? Explain what is physically/chemically occurring

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