2020 · Paper 1

Complete GATE CH 2020 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 52–54 of 65. Imported answers require review unless explicitly marked reviewed.

Question 42

Open question

CHNAT2 marksNeeds review

Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature



. The figure shows the fin.



The steady state one dimensional energy balance on an element of the fin of thickness



at a distance



from its base yields



where



,



is the temperature of the fin at the distance



from its base in °C. The value of



is 0.04 cm



and the temperature at the base is



. The temperature (in °C) at



cm is ________ (round off to 1 decimal place).

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Question 43

Open question

CHNAT2 marksNeeds review

Liquid water is pumped at a volumetric flow rate of 0.02 m



s



from Tank I to Tank II, as shown in the figure.



Both the tanks are open to the atmosphere. The total frictional head loss for the pipe system is 1.0 m of water.

In addition, use the following data and assumptions:

Density of water is 1000 kg m



Acceleration due to gravity is 9.81 m s



Efficiency of the pump is 100%

The liquid surfaces in the tanks have negligible velocities

The power supplied (in W) by the pump to lift the water is ________ (round off to 1 decimal place).

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Question 44

Open question

CHNAT2 marksNeeds review

An elementary liquid phase reversible reaction



is carried out in an ideal continuous stirred tank reactor (CSTR) operated at steady state. The rate of consumption of P,



(in mol liter



minute



), is given by



where



and



are the concentrations (in mol liter



) of P and Q, respectively.

The feed contains only the reactant P at a concentration of 1 mol liter



, and the conversion of P at the exit of the CSTR is 75% of the equilibrium conversion. Assume that there is no volume change associated with the reaction, and the temperature of the reaction mixture is constant throughout the operation. The space time (in minutes) of the CSTR is ________ (round off to 1 decimal place).

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