Answer to Question #72827 in Molecular Physics | Thermodynamics for ayorinde samuel

Question

A 1.5 kilowatt heater is used to heat 2.5kg of water from 25 degree celcius to 100 degree celcius in ti seconds. Find the time taken of the temperature of water to be raised.

Answer 1

P = Q/t, where P – power of heater, Q – heating energy.
Q = Cm(T2-T1) – where C – water heating capacity (4200 J/kg×K)
t = Q/P = (Cm(T2-T1))/P;
t = (4200×2.5×75)/1500 = 525 (s) – time that heater needs to raise the temperature of 2.5 kg of water from 25 degree celcius to 100 degree celcius.