A thermally insulated piece of metal is heated under atmospheric pressure by an electric current so that it receives electric energy at constant power P. This leads to an increase in the absolute temperature T of the metal with time t as T (t) = T 0 [1 + a(t – t 0 )] 1/4 , where a, t 0 and T 0 are constants. The heat capacity Cp (T) of the metal is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Heat given to the metal
dQ = Pdt = C P (t) dT ...(i)
At constant pressure in time interval at
Given, T = T 0 [1 + a(t -t 0 )] 1/4
...(ii)
From Eqs. (i) and (ii)
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