a.) What is the rate of heat flow through the bar? b.) Find the thermal conducti

Question

a.)What is the rate of heat flow through the bar?

b.)Find the thermal conductivity of the unknown substance (in W/m/degC).

A hot reservoir is maintained at a temperature of 76 degree C, and a cold reservoir is maintained at a temperature of 10 degree C. They are separated by 27.00 cm, and are connected by a cylindrical bar made of two materials. The radius of the bar is 0.70 cm. The upper part of the bar is made of silver (k = 427 W/(m degree C)), and has a length of 9.45 cm. The lower part's material is unknown. The temperature where the two materials are in thermal contact is 72.2331oC.

Explanation / Answer

1) Rate of heat flow in silver = total rate of heat flow = K * A * deltaT/l

= 427 * 1.5 * 10^-4 * 3.76 / 0.0945 = 2.54 J/s

2) K = R * l / (A * deltaT) = 2.54 * 0.1755/(1.5 * 10^-4 * 62.23) = 47.75 W/(moC)

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