Heat energy at a constant rate is supplied to | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 $P$

Vedclass · Answer

(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.

Similar Questions

Draw a graph of the variation of specific heat capacity of water with temperature and define calorie.

$A$ solid of $2 \,kg$ mass absorbs $50 \,kJ$ when its temperature is raised from $20^{\circ} C$ to $70^{\circ} C$. The specific heat capacity of this solid in units of $J / kg^{\circ} C$ is

What is the heat capacity of copper of $40 \, g$ and specific heat $0.3 \, erg \, g^{-1} (^{\circ} C)^{-1}$?

The thermal capacity of $40\, g$ of aluminium (specific heat $= 0.2\, cal/g/^{\circ}C$) is ........ $cal/^{\circ}C$.

$500 \ g$ of water is heated from $30^{\circ}C$ to $90^{\circ}C$. What is the change in its internal energy? (Specific heat of water is $4184 \ J \ kg^{-1} \ K^{-1}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module