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Sol. The rate of heat flow per sec. = dQ/dt = KA dθ/dt The rate of heat flow per sec. = dQ base A/dt = KA dθ base B/dt This part of heat absorbed by the red. Q/t = ms∆θ/dt where dθ/dt = Rate of net temp. variation ⇒ msdθ/dt = KA dθ base A/dt - KA dθ base B/dt ⇒ ms dθ/dt KA(dθ base A/dt - dθ base B/dt) ⇒ 0.4 * dθ/dt = 200 * 1 * 10^-4 (5 – 2.5) °C/cm ⇒ 0.4 * dθ/dt = 200 * 10^-4 * 2.5 ⇒ 0.4 * dθ/dt = 200 * 2.5 * 10^-4/0.4 * 10^-2 °C/m = 1250 * 10^-2 = 12.5 °C/m
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