GATE ME format:nat PYQs & Answers — Page 2

Questions 11–20 of 418. Imported answers require independent review unless marked reviewed.

Topic practice 418 questionsPage 2 of 42

A liquid comes out of the reactor of a chemical plant at 250 °C temperature with a flow rate of 100 LPM. The ambient temperature is 25 °C. Density and specific heat of the liquid remain constant at 1000 kg/m³ and 4.18 kJ/kg K, respectively, for the given range of temperature. The rate of energy associated with the hot liquid stream at the exit of the plant is ______ kW (rounded off to 2 decimal places).

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A rigid closed vertical cylindrical vessel of 15 cm diameter contains 5 kg water at 80 °C with 10% quality. The water is heated till its temperature reaches 130 °C. Considering only a horizontal separated interface between liquid and vapor, the dip in the liquid level after the heating process is ______ cm (rounded off to 2 decimal places).

Properties of water at various saturation temperatures are given in the table below.

Temperature	Specific volume		Specific internal energy
(°C)	(m³/kg)	(m³/kg)	(kJ/kg)	(kJ/kg)
80	0.001029	3.4053	334.97	2481.60
130	0.001070	0.6680	546.10	2539.50

, and

are temperature, specific volume, and specific internal energy, respectively. Subscripts

and

represent saturated liquid and saturated vapor, respectively.

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An inward flow reaction turbine, having an outer diameter of 1 m, runs at 600 RPM. The normal component of absolute velocity at the inlet is 10 m/s. If the guide blade angle is 15°, then the inlet vane angle of the runner is ______ degree (rounded off to 1 decimal place).

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In a deep drawing operation of a rectangular sheet metal, 30% stretching in length results in 15% reduction in thickness. Assuming volume constancy, the normal anisotropy of the sheet metal is ______ (rounded off to 2 decimal places).

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The actual demand for castings in a factory is 500 units and 635 units for the months of January 2026 and February 2026, respectively. The forecasted demand for January 2026 is 250 units and smoothing constant is 0.7. Using the exponential smoothing method, the forecast of the demand for castings in March 2026 is ______ units (in integer).

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The inventory holding cost of an item is ₹ 0.50 per unit per month and the ordering cost per order is ₹ 550. A stockist needs to supply 1000 units of the item per year to the customers. Assume demand is fixed and shortage cost is infinite. Using classical economic order quantity (EOQ) model, the optimal lot size is ________ units per order (rounded off to nearest integer).

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A metal has FCC crystal structure with 2.71 g/cm

density and 26.98 g/mol of atomic weight. The Avogadro’s number is 6.023 × 10

. The atomic radius of the metal is ________ nm (rounded off to 2 decimal places).

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During orthogonal turning by using a single point cutting tool, feed rate is 0.24 mm/rev. The uncut chip thickness is 0.23 mm. The shear angle, tangential force component, and radial force component are 20°, 800 N, and 150 N, respectively. The value of shear force is ________ N (rounded off to 2 decimal places).

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A drill bit during its lifetime can produce 150 through holes in a plate at a drill-speed of 200 RPM. If the drill-speed increases to 300 RPM, then it can produce 60 through holes in the same plate before the drill bit fails. Assume all other parameters remain constant. The value of the exponent in Taylor’s tool life equation is ________ (rounded off to 2 decimal places).

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The activities of a PERT network and their corresponding activity time estimates (in weeks) i.e., optimistic (

), most likely (

), and pessimistic (

) are given in the table below.

Activity
1–2	2	4	12
1–3	2	4	6
1–4	3	4	11
2–5	3	6	9
3–4	2	5	14
3–5	3	3	3
4–5	3	6	15
5–6	2	5	8

The expected project length is ________ weeks (in integer).

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GATE ME format:nat PYQs

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Question 65