Answer:
Explanation:
50 gallons = 50 x 0.00378541
= .1892705 m³
mass of water = volume x density
= .1892705 x 10³
m = 189.27 kg
heat needed Q = m s Δ t
s is specific heat of water , Δ t is rise in temperature
= 189.27 x 4.2 x 10³x ( 61 - 20 )
32592.3 x 10³ J
heating element will provide this energy . Let time taken be t .
heat produced by heating element with power of 4000W
= 4000 x t J
4000 t = 32592.3 x 10³
t = 8148 s
= 135.8 min
= 2 hour , 15.8 min .