Chemical Engineering Gate 2026 Questions with Answer

Ques 1 GATE 2026


Methanol is formed by the following gas phase homogeneous reaction:
CO (g) + 2H2 (g) ⇌ CH3OH (g)
The standard Gibbs free energies of formation at 298 K for CO and CH3OH are −137 kJ mol−1 and −162 kJ mol−1, respectively. The value of universal gas constant is 8.314 J mol−1 K−1. The equilibrium constant for the given reaction at 298 K is _____ × 104 (rounded off to one decimal place).


(2.4) is the correct answer.

Ques 2 GATE 2026


A feed containing 10 mol % propylene, 15 mol % ammonia and rest air is charged into a reactor to produce acrylonitrile (C3H3N) according to the following reaction.
2C3H6 + 2NH3 + 3O2 → 2C3H3N + 6H2O
Assume, air contains 80 mol % N2 and 20 mol % O2. If the conversion of the limiting reactant is 30%, the composition of C3H3N (in mol %) in the product stream is ___________ (rounded off to two decimal places).


(2.96) is the correct answer.

Ques 3 GATE 2026


A gas mixture of 50 wt. % argon and 50 wt. % helium flowing through a horizontal tube of uniform diameter at a rate of 1 kg s−1 is heated from 300 K to 400 K at 1 bar. Neglect shaft work, and changes in kinetic as well as potential energies between the inlet and the outlet. Assume the mixture exhibits ideal gas behavior. The specific enthalpies of the components are given in the following table.

At steady state, the heat input required (in kW) is ___________ (rounded off to the nearest integer).


(285) is the correct answer.

Ques 4 GATE 2026


Cyclohexane (C6H12) is produced from benzene (C6H6) and hydrogen (H2) according to the following reaction.
C6H6 + 3H2 ⟶ C6H12
Consider the process flow diagram with fresh feed (C6H6 and 25% excess H2), reactor, separator, product stream, and recycle stream (25 mol % C6H6 and 75 mol % H2).

In this process, the overall and single-pass conversions are 90% and 25%, respectively. If the fresh feed contains 25% excess H2, at steady state, the ratio of the molar flow rate of recycle stream to that of the fresh feed is _________ (rounded off to one decimal place).


(2.2) is the correct answer.

Ques 5 GATE 2026


Consider a closed system of one mole of an ideal gas undergoing a polytropic process. The process follows PVn = constant, where P is the pressure, V is the volume and n is a constant. If the process is isobaric, which one of the following is the value of n?

A

0

B

1

C

D

the ratio of specific heat capacity at constant pressure to specific heat capacity at constant volume


(a) is the correct answer.

Ques 6 GATE 2026


According to the phase rule, which one of the following is the number of degrees of freedom for pure water at its triple point?

A

−3

B

0

C

1

D

3


(b) is the correct answer.

Ques 7 GATE 2026


Which of the following statements regarding the heat of reaction is/are CORRECT?

A

For endothermic reaction, it is positive.

B

For exothermic reaction, it is negative.

C

For exothermic reaction, it is positive.

D

It is the enthalpy change for a process in which stoichiometric quantities of reactants, at a temperature and pressure, react completely in a single reaction to form products at the same temperature and pressure.


(a,b,d) is the correct answer.

Ques 8 GATE 2026


In a traditional continuous Kraft (Sulfate) pulping process, consider the following major steps: Bleaching (BL), Chipping (CH), Debarking (DE), Digestion (DI), and Pulp Washing (WA). Which one of the following is the CORRECT sequence of steps for this process?

A

DE → BL → WA → DI → CH

B

DE → CH → DI → WA → BL

C

DE → CH → WA → DI → BL

D

DE → BL → WA → CH → DI


(b) is the correct answer.

Ques 9 GATE 2026


Which one of the following is produced by catalytic reforming of straight run gasoline and naphtha?

A

diesel oil

B

furnace oil

C

high octane gasoline

D

kerosene


(c) is the correct answer.

Ques 10 GATE 2026


Urea has its major use as a solid fertilizer for nitrogen fixation. Which of the following is/are other application(s) of urea?

A

manufacturing of resins and plastics

B

melamine production

C

muriatic acid production

D

sulfamic acid production


(a,b,d) is the correct answer.

Ques 11 GATE 2026


Consider a differential equation:
x2(d2y/dx2) + 3x(dy/dx) − 3y = 0
y = 3, dy/dx = −5 at x = 1
The value of y at x = 2 is ______ (rounded off to two decimal places).


(2.25) is the correct answer.

Ques 12 GATE 2026


The data given in the table are fitted to the equation y = mx using the method of least squares. The value of m is ______ (rounded off to one decimal place).


(2.5) is the correct answer.

Ques 13 GATE 2026


A two-dimensional temperature profile is given as T = 2x2 + 3xy + y2. If î and ĵ are the unit vectors along x and y directions, respectively, which one of the following is the directional derivative (gradient) of T at the location x = 2, y = 2?

A

8î + 12ĵ

B

14î + 10ĵ

C

8î − 12ĵ

D

14î − 10ĵ


(b) is the correct answer.

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