Chemical Engineering Gate Yearwise 


Chemical Engineering Gate 2013 Questions with Answer

Ques 1 GATE 2013

A gaseous system contains H2, I2, and HI, which participate in the gas-phase reaction
2 HI ↔ H2+I2
At a state of reaction equilibrium, the number of thermodynamic degrees of freedom is


(2) is the correct answer.

Ques 2 GATE 2013

The thermodynamic state of a closed system containing a pure fluid changes from (T1,p1) to (T2, p2). where T and p denote the temperature and pressure, respectively. Let Q denote the heat absorbed (> 0 if absorbed by the system) and W the work done (> 0 if done by the system). Neglect changes in kinetic and potential energies. Which one of the following is CORRECT?

A

Q is path-independent and W is path-dependent

B

Q is path-dependent and W is path-independent

C

(Q-W) is path-independent

D

(Q+W) is path-independent


(c) is the correct answer.

Ques 3 GATE 2013

An equation of state is explicit in pressure p and cubic in the specific volume v. At the critical point 'c', the isotherm passing through 'c' satisfies

A

∂p/∂v<0, ∂2p/∂v2=0

B

∂p/∂v>0, ∂2p/∂v2<0

C

∂p/∂v=0, ∂2p/∂v2>0

D

∂p/∂v=0, ∂2p/∂v2=0


(d) is the correct answer.

Ques 4 GATE 2013

The units of the isothermal compressibility are

A

m-3

B

Pa-1

C

m3Pa-1

D

m-3Pa-1


(b) is the correct answer.

Ques 5 GATE 2013

In a process occurring in a closed system F, the heat transferred from F to the surroundings E is 600 J. If the temperature of E is 300 K and that of F is in the range 380-400 K, the entropy changes of the surroundings (ΔSE) and system (ΔSF), in J/K, are given by

A

ΔSE=2, ΔSF=-2

B

ΔSE=-2, ΔSF=2

C

ΔSE=2, ΔSF<-2

D

ΔSE=2, ΔSF>-2


(d) is the correct answer.

Ques 6 GATE 2013

A binary liquid mixture is in equilibrium with its vapor at a temperature T=300 K. The liquid mole fraction x1 of species 1 is 0.4 and the molar excess Gibbs free energy is 200 J/mol. The value of the universal gas constant is 8.314 J/mol-K and γi denotes the liquid-phase activity coefficient of species i. If ln(γ1)=0.09, then the value of ln(γ2) up to 2 digits after the decimal point, is


(0.24) is the correct answer.

Ques 7 GATE 2013

Calculate the heat required (in kJ, up to 1 digit after the decimal point) to raise the temperature of 1 mole of a solid material from 100°C to 1000°C. The specific heat (Cp) of the material (in J/mol-K) is expressed as Cp=20+0.005T where T is in K. Assume no phase change.


(295.5) is the correct answer.

Ques 8 GATE 2013

The exit age distribution for a reactor is given by E(t)=δ(t-4), where t is in seconds. A first order liquid phase reaction (k=0.25 s-1) is carried out in this reactor under steady state and isothermal conditions. The mean conversion of the reactant at the exit of the reactor, up to 2 digits after the decimal point, is


(0.63) is the correct answer.

Ques 9 GATE 2013

An isothermal liquid phase zero order reaction A→B (k=0.5 mol/m3-s) is carried out in a batch reactor. The initial concentration of A is 2 mol/m3. At 3 seconds from the start of the reaction, the concentration of A in mol/m3 is


(0.5) is the correct answer.

Ques 10 GATE 2013

The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are rA1 and rA2 (in mol (kg-catalyst)-1h-1), respectively. The other physical properties of the catalyst particles are identical. If pore diffusion resistance is very high, the ratio rA2/rA1 IS


(0.5) is the correct answer.

Ques 11 GATE 2013

The gas phase decomposition of azomethane to give ethane and nitrogen takes place according to the following sequence of elementary reactions. (CH3)2N2+(CH3)2N2 → k1 (CH3)2N2+[(CH3)2N2]*
[(CH3)2N2]*+(CH3)2N2 → k2 (CH3)2N2+ (CH3)2N2
[(CH3)2N2]* → k3 C2H6+N2
Using the pseudo-steady-state-approximation for [(CH3)2N2]* the order with respect to azomethane in the rate expression for the formation of ethane, in the limit of high concentrations of azomethane, is


(1) is the correct answer.

Ques 12 GATE 2013

A first order liquid phase reaction is carried out isothermally at a steady state in a CSTR and 90% conversion is attained. With the same inlet conditions and for the same overall conversion, if the CSTR is replaced by two smaller and identical isothermal CSTRs in series, the % reduction in total volume, to the nearest integer, is


(82) is the correct answer.

Ques 13 GATE 2013

Liquid reactant A decomposes as follows

An aqueous feed of composition CA0=30 mol/m3, CR0=2 mol/m3, and Cs0=1 mol/m3 enters a CSTR in which the above reactions occur. Assume isothermal and steady state conditions.
If the conversion of A is 80%, the concentration of R in the exit stream in mol/m3 to the nearest integer, is


(10) is the correct answer.

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