Transmission Of Heat Question 173
Question: Liquid is filled in a vessel which is kept in a room with temperature $ 20^{o}C $ . When the temperature of the liquid is $ 80^{o}C $ , then it loses heat at the rate of $ 60\ cal/\sec $ . What will be the rate of loss of heat when the temperature of the liquid is $ 40^{o}C $
[MP PMT 1994]
Options:
A) $ 180\ cal/\sec $
B) $ 40\ cal/\sec $
C) $ 30\ cal/\sec $
D) $ 20\ cal/\sec $
Show Answer
Answer:
Correct Answer: D
Solution:
Rate of loss of heat $ ( \frac{\Delta Q}{t} )\propto , $ temperature difference Dq
$ \frac{{( \frac{\Delta Q}{t} )_1}}{{( \frac{\Delta Q}{t} )_2}}=\frac{\Delta {\theta _{2}}}{\Delta {\theta _{1}}} $
Therefore $ \frac{60}{{{( \frac{\Delta Q}{t} )} _{2}}}=\frac{80-60}{40-20} $
Therefore $ {{( \frac{\Delta Q}{t} )} _{2}}=\frac{20,cal}{sec} $