Chemical Engineering GATE 2013 Questions with Answer

Ques 1 Chemical Engineering Thermodynamics

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

Ques 2 Chemical Engineering Thermodynamics

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?

Ques 3 Chemical Engineering Thermodynamics

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

Ques 4 Chemical Engineering Thermodynamics

The units of the isothermal compressibility are

Ques 5 Chemical Engineering Thermodynamics

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 (ΔS_E) and system (ΔS_F), in J/K, are given by

Ques 6 Chemical Engineering Thermodynamics

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 γ_i 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

Ques 7 Chemical Engineering Thermodynamics

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 (C_p) of the material (in J/mol-K) is expressed as C_p=20+0.005T where T is in K. Assume no phase change.

Ques 8 Chemical Reaction Engineering

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

Ques 9 Chemical Reaction Engineering

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

Ques 10 Chemical Reaction Engineering

The overall rates of an isothermal catalytic reaction using spherical catalyst particles of diameters 1 mm and 2 mm are r_A1 and r_A2 (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 r_A2/r_A1 IS

Ques 11 Chemical Reaction Engineering

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

Ques 12 Chemical Reaction Engineering

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

Ques 13 Chemical Reaction Engineering

Liquid reactant A decomposes as follows