Answer to Question #223914 in Chemical Engineering for Lokika

Question #223914

A metal ball (radius 2.5 cm) initially at a uniform temperature of 450°C is suddenly placed in a controlled environment in which the temperature is maintained at 100°C. The convective heat transfer coefficient is 10 W/(m² -K). Determine the time taken (in hours) for the metal ball to cool to 150 °C ? Clearly mention the suitable assumptions if necessary?. Property data are given below.


Property of all metal ball,unit ___________ value


Density, kg/m³_______7800


Thermal conductivity,W(m-°C)____35 


Heat capacity, (J/kg-°C) 460


1
Expert's answer
2021-09-09T00:33:02-0400

First, we solve the given equation by substituting as the values:




Then we understand that:






Property of all metal ball,unit ___________ value= 1620 units

 

Density, kg/m³_______7800= , kg/m³ 6987, kg/m³

 

Thermal conductivity,W(m-°C) ____35 += 35.17 W(m-°C)

 

Heat capacity, (J/kg-°C) 460= 0.4604 J/kg-°C



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