A given mass m of a hypothetical solid is supplied with heat cont… - Vidyadip

MCQ

A given mass $m$ of a hypothetical solid is supplied with heat continuously at a constant rate and the graph shown in the adjacent figure is plotted. If $L_f$ and $L_v$ are latent heats of fusion and latent heats of vaporization and $S_l$ and $S_s$ are specific heats of liquid and solid respectively. It can be concluded that

A
$L_f > L_v,S_l = S_s$
B
$L_f < L_v,S_l > S_s$
✓
$L_f > L_v,S_l < S_s$
D
$L_f = L_v,S_l > S_s$

✓

Answer

Correct option: C.

$L_f > L_v,S_l < S_s$

c
Let rate of heat supplied be $Q. J/sec$
Total heat given in melting
$= Q \times (90 -10) = 80 Q$ $J$
Total heat given in vapourization $=$ $Q$ $(120 - 100)$
$=$ $20$ $Q$ $J$
$L_v < L_f$
Inverse of slope of line represent the specific
heat, $S_s > S_l$

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