Question
Asked Sep 15, 2019
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. Quenching Lead Shot in a Bath. Lead shot having
is at an initial temperature of 204.4°C. To quench the shot, it is added to a quenching
oil bath held at 32.2°C and falls to the bottom. The time of fall is 15 s. Assuming
average convection coefficient of h 199 W/m2 K, what will be the temperature of
the shot after the fall? For lead, p 11 370 kg/m and c, 0.138 kJ/kg K.
an average diameter of 5.1 mm
an
3
Ср
12
WNSH
3y dot mon Nra
ood tot
byhas
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. Quenching Lead Shot in a Bath. Lead shot having is at an initial temperature of 204.4°C. To quench the shot, it is added to a quenching oil bath held at 32.2°C and falls to the bottom. The time of fall is 15 s. Assuming average convection coefficient of h 199 W/m2 K, what will be the temperature of the shot after the fall? For lead, p 11 370 kg/m and c, 0.138 kJ/kg K. an average diameter of 5.1 mm an 3 Ср 12 WNSH 3y dot mon Nra ood tot byhas

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Expert Answer

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Step 1

Given information in the question:

Considering the shape of lead shot as spherical

Average diameter (D) of lead shot = 5.1 mm

Initial temperature of lead shot before fall = 204.40C

 Temperature of oil bath = 32.20C

Time of fall of lead shot = 15 s

Average convection coefficient (h) = 199 W/m2 K

Density of lead shot material = 11370 kg/m3

CP = 0.138 kJ/kg K

Here, to find out the temperature of shot after fall

Step 2

Figure showing the situation in problem below:

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Lead shot before fal Tintal 204.4 °c Oil bath Tel bath =32.2°C Lead Shot Figure 1: Depict the situation after and before fall of lead shot

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Step 3

Assuming there is no temperature gradient throughout the lead shot...

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Heat input-Heat output-Accumulation of Heat-Consumption of heat+ Heat generation=0 Heatinput-0 Heatoutput-hA(T-T. WhereTisthe temperature of lead shot at timetand To is the oilbath temperature at timet Accumalation of heat =MC,- Consumption of heat-0 Heat generation 0 IP +0+ 0= 0 0-hA(T-T) MC2 dt ат, IC,-hA(T-T) P dt hA dt IP (Т-Т,) мс, Integrating both si des dr hA IP (Т-Т,) мо, Т-Т, In hA =. t т.т, мс, where, M-pxV T-T hA exp T-T мC, T-T hA T-T

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