Complete GATE CH 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice

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

Paper practice 65 questionsPage 18 of 22

Question 52

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CHNAT2 marksNeeds review
In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity = 2100 J kg

°C

) entering at 7 kg s

at 100 °C is used to heat water (specific heat capacity = 4200 J kg

°C

) flowing at 3.5 kg s

from 20 °C to 50 °C. If the overall heat transfer coefficient is 291 W m

°C

, the required heat transfer area (in m

) is ____ (rounded off to one decimal place).

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Question 53

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A pipe with outer diameter of 0.02 m, carries hot water. The temperature at the outer surface of the pipe is 70 °C. This pipe is covered with two concentric layers of insulation, each having a thickness of 0.01 m. The first layer (adjacent to the pipe) is made up of felt material (thermal conductivity k_f = 0.12 W m⁻¹ °C⁻¹), and the next layer is made up of asbestos (thermal conductivity k_as = 0.15 W m⁻¹ °C⁻¹). The insulated pipe is exposed to ambient air at 20 °C. The convection heat transfer coefficient at the outer insulation layer is 3 W m⁻² °C⁻¹. At steady state, neglecting heat transfer due to radiation, the heat loss at the outer insulation layer (in W m⁻¹) is _____ (rounded off to two decimal places).

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Question 54

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CHNAT2 marksNeeds review
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).

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