Water falls from 350 high, find the temperature change assuming that the whole of energy due to fallconverted into heat. Swater = 4200JkgC-1
Solution:
Given,
height of water (h) = 350 m
mass of water (m) = ?
Let acceleration due to gravity be g = 10 m/s^2
Then, the potential energy of water at height h (PE) = mgh
= m (10) (350)
= (3500 m) Joules
Again, the amount of heat energy gained by water is given by (Q) = ms 'dt' where s is the specific heat capacity of water and 'dt' is the difference in temperature.
Question says that the entire PE is converted to Q so,
PE = Q
or, 3500 m = ms 'dt'
or, 3500 = 4200 'dt'
So, 'dt' = 3500/4200 = 5/6 K
Hence,...