First slide

Conduction

Question

Two vessels made of different materials are identical in all respects. The same quantity of Ice filled in them gets melted in 27 min. and 45 min. when placed in same surroundings. If thermal conductivity of material of 1st vessel is 180 wm^-1k^-1, then Thermal conductivity of material of second vessel will be

Easy

A

108 Wm^-1K^-1
B

90 Wm^-1K^-1
C

300 Wm^-1K^-1
D

120 Wm^-1K^-1

Solution

$\large \frac Qt=\frac {KA(\theta_1-\theta_2)}{l}$ $\large \frac Qt=\frac {KA(\theta_1-\theta_2)}{l}\;;\;\frac {t_2}{t_1}=\frac {k_1}{k_2}$
$\large \frac {45\times 60}{27\times 60}=\frac {180}{k_2}\Rightarrow k_2=108w/mk$

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