A continuous flow water heater has an electrical power rating

Asked by admin @ in Physics viewed by 400 People

Hii ,,,

a continuous flow water heater geyser has an electrical power rating 2 kilowatt and efficiency of conversion of electric power into heat 80% if water is flowing through the device @ of 100 CC per second and the inlet temperature is 10 degree centigrade then the outlet temperature will be????

Answered by admin @


Given Electrical Power = 2 kilowatt = 2000 w

The efficiency of the heater is 80%

We know that The Heat energy in joules (J) is equal to the Electric power P in watts (W), times the time period t in seconds (s):

In unit time Heat energy = Electric Energy

So the Heat energy absorbed by the water is E_{P}=2000\times\frac{80}{100}=1600 J

We know that,

\text{Heat energy} = \text{mass}\times\text{specific heat capacity}\times\text{temperature difference}\\\\E_{P}=m\times{C_{w}}\times\delta{T}.........Equation-1

Mass of the water (m) = 100 cc/sec = 100 g/sec

specific heat capacity of water =C_{W}=4.2\text{J/gm}

Temperature difference \delta{T}=(T_{2}-T_{1}) Where T_{2} is the final temperature and T_{1} is the initial temperature of water.

Therefore,

E_{P}=m\times{C_{w}}\times\delta{T}\\\\\Rightarrow1600=100\times4.2\times({T_{2}-10)

\Rightarrow{T_{2}-10=\frac{1600}{4.2\times100}

\Rightarrow{T_{2}}=\frac{1600}{420}+10=3.80+10=13.80

The outlet temperature will be 13.8 °C


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