Chemical Engineering > GATE 2016 > CSTR
A liquid phase irreversible reaction A β B is carried out in an adiabatic CSTR operating under steady state conditions. The reaction is elementary and follows the first order rate law. For this reaction, the figure below shows the conversion (X_A) of A as a function of temperature (T) for different values of the rate of reaction (-r_A in mol m^{-3} s^{-1}) denoted by the numbers to the left of each curve. This figure can be used to determine the rate of the reaction at a particular temperature, for a given conversion of A.
The inlet stream does not contain B and the concentration of A in the inlet stream is 5 mol/m3. The molar feed rate of A is 100 mol/s. A steady state energy balance for this CSTR results in the following relation: T = 350 + 25 X_A where T is the temperature (in K) of the exit stream and X_A is the conversion of A in the CSTR. For an exit conversion of 80% of A, the volume (in m3, rounded off to the first decimal place) of CSTR required is _______
Correct : 8.0
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