A small electric immersion heater is used to heat 100g of water. The power on the heater is labelled as 200W. Calculate the time required to raise the temperature from 23∘C to 100∘C. [Specific heat capacity of water is 4200J/kg−∘C]
A
132s
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B
142s
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C
152s
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D
162s
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Solution
The correct option is D162s Given: Mass of water, (m)=100g or 0.1kg Specific heat capacity of water, (s)=4200J/kg−∘C Initial temperature, (Ti)=23∘C Final temperature, (Tf)=100∘C Power supplied by heater, (P)=200W Let the time required be t. Heat absorbed by water, Q=ms(Tf−Ti) ⇒Q=0.100×4200×(100−23) ⇒Q=32340J.......(1) Now, Power delivered P=Qt ⇒t=QP⇒t=32340200=161.7s≈162s Hence, option (d) is correct answer.