Find the temperature distribution u(x, t) in a laterally insulated bar Of 80 cm long if the initial temperature is 100 Sin 80 C and the ends are kept at 0°C. How long will it take for the maximum temperature in the bar to drop 50°C given that p = 8.92 gm cm-3, 0.95 cal cm-1 sec° C. S = 0.092 calgm-1°C and thermal conductivity k = %3D

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