Given Information:
Pressure = 1 atm
Mass of water = 1 kg
time = 10 minutes
Required Information:
Power rating = ?
Answer:
The correct option is (c)
P = 1.9 kW
Step-by-step explanation:
We want to find out the power rating of the heating element of the coffeemaker.
The power rating is given by
![$ P = (m * h)/(2* t) $](https://img.qammunity.org/2021/formulas/engineering/college/vtwdi1qg2ir18sbiiuwc658jh2p9n82rtz.png)
Where m is the mass of the water, h is the latent heat of vaporization of water, and t is the time in seconds.
From the standard table, the latent heat of vaporization of water at 1 atm and 100 °C is given by
h = 2257 kJ/kg
Time in seconds = 10×60 = 600 seconds
![$ P = (1 * 2257)/(2*600 ) $](https://img.qammunity.org/2021/formulas/engineering/college/hq0nub1cu7zjzsty33vluor63ct8d5b9na.png)
![$ P = (2257)/(1200) $](https://img.qammunity.org/2021/formulas/engineering/college/wode7wsxskqw2xn5jz0lbol3q1m9sukk27.png)
![$ P = 1.88 \: kW$](https://img.qammunity.org/2021/formulas/engineering/college/o2u6zhty0sq9lbbcvrfg2rvk01jvd9utrd.png)
Rounding off yields
![P = 1.9 \: kW](https://img.qammunity.org/2021/formulas/engineering/college/r85sexcsiymo2bpkvgjcytwqu4w4bp6h6j.png)
Therefore, the correct option is (c) 1.9 kW