Chemical Engineering > GATE 2019 > Transient Heat Conduction
A solid sphere of radius 1 cm and initial temperature of 25 °C is exposed to a gas stream at 100 °C. For the solid sphere, the density is 104 kg/m3 and the specific heat capacity is 500 J/(kg K). The density of the gas is 0.6 kg/m3 and its specific heat capacity is 103 J/(kg K). The solid sphere is approximated as a lumped system (Biot number << 1) and all specific heats are constant. If the heat transfer coefficient between the solid and gas is 50 W/(m2 K), the time (in seconds) needed for the sphere to reach 95 °C is ______ (rounded off to the nearest integer).
Correct : 902
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