Question

A cubical vessel of side 10 cm is filled
with Ice at 0°C and is immersed in water
bath at 100°C. If thickness of walls of
vessel is 0.2 cm and conductivity is
0.02 CGS units, then time in which all the
Ice melts is (Density of Ice = 0.9 gm/cc)
1) 6 sec
2) 9 sec
3) 12 sec
4) 15 sec​

Answer 1

Answer:

The answer is 6 seconds.

Step-by-step explanation:

ΔQ/Δt = KA (θ1 - θ2)/l

Here K is the coefficient of thermal conductivity and A is the area of the walls.

Let's suppose K = 1

Then Qprovidee = ΔQ/Δt =1 x100x (100 -0)/0.2

                                      = 50000 J/sec

Latent heat of fusion for ice is L= 3.36 x10^5 J/Kg

So heat required is QL = mL = 0.9 x  3.36 x10^5 J/Kg = 302400 J

Time takes = QL /Q provided =  302400 J/50000 J/sec

                                               = 6 seconds

Answer 2

Answer:

correct answer is 12sec