An electric kettle draws a current of 10 A when connected to the 230 V mains supply. if all the energy produced in 5 minutes is used to heat 2 kg of water (Specific heat capacity of water = 4200 J kg^-1 K ^-1 .), determine the following:

 

a. the power supplied to the kettle, in kW

b. the electrical energy consumed

c. the rise in temperature of the kettle. 

 

Please show the complete solution and use 4 decimals when solving, thank you very much. The answers i have are diffrent.b

a. The power supplied to the kettle is 2.3 kW

b. The electrical energy consumed is 690000 J

c. The rise in temperature of the kettle is 82.1429 K

From the question, we get information

The current ?(I)? = 10 A

The voltage ?(V)? = 230 V

The time ?(t)=5minutes×1minute60seconds?=? 300 seconds

The mass of water ?(m)? = 2 kg

The specific heat capacity of water ?(c)=4200J/kg.K?

a. The power supplied to the kettle ?(P)? is

?P=IV?

?P=(10)(230)?

?P=2300W?

?P=? 2.3 kW

b. The electrical energy consumed ?(E)? is

?P=tE??

?E=Pt?

?E=(2300)(300)?

?E=? 690000 J

c. The rise in temperature of the kettle ?(ΔT)? is

?E=mcΔT?

?ΔT=mcE??

?ΔT=(2)(4200)690000??

?ΔT=? 82.1429 K