Question 35

MENAT1 markNeeds review
A sphere of radius 5 mm is initially in equilibrium at 400 °C in a furnace. It is suddenly removed from the furnace and dipped in a well-stirred water bath at 20 °C, with a convection heat transfer coefficient of 500 W/(m²K). For the given range of temperatures, the thermophysical properties of the material of the sphere are: density

kg/m³, thermal conductivity

W/(mK), and specific heat

J/(kg K). Neglecting radiation heat transfer, the time required for the centre of the sphere to cool from 400 °C to 50 °C is ______ seconds (rounded off to 2 decimal places).

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2026ME

GATE ME 2026 · Paper 1

Mechanical Engineering · Original paper archive

Section
Mechanical Engineering
Question type
Numerical answer (NAT)
Marks
1 mark

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