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(B) The heat energy supplied at a constant rate $H$ is given by $H = \frac{dQ}{dt} = mc \frac{dT}{dt}$,where $m$ is the mass and $c$ is the specific h

Vedclass · Accepted Answer

Specific heat of $Q$ is greater than $P$

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(B) The heat energy supplied at a constant rate $H$ is given by $H = \frac{dQ}{dt} = mc \frac{dT}{dt}$,where $m$ is the mass and $c$ is the specific heat capacity.Since $H$ is constant,we have $c = \frac{H}{m (dT/dt)}$.This implies that the specific heat $c$ is inversely proportional to the slope of the $T-t$ graph,i.e.,$c \propto \frac{1}{	ext{slope}}$.From the figure,the slope of the graph for substance $P$ is greater than the slope of the graph for substance $Q$ (i.e.,$	ext{slope}_P > 	ext{slope}_Q$).Therefore,the specific heat of $Q$ must be greater than the specific heat of $P$ $(c_Q > c_P)$.Thus,the correct statement is that the specific heat of $Q$ is greater than $P$.

Heat energy at a constant rate is supplied to two substances $P$ and $Q$. If the variation of temperature $(T)$ of the substances with time $(t)$ is as shown in the figure,then select the correct statement.

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