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1st Law of Thermodynamics

1.0 kg of wat...

Question

$1.0 k g$ of water is contained in a $1.25 k W$ kettle. Calculate the time taken for the temperature of water rise from $25^{o} C$ to its boiling point $100^{o} C$ . Specific heat capacity of water $= 4.2 J g^{- 1} K^{- 1}$

15 s

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4 m i n 12 s

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1 m i n 56 s

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252 m i n

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Solution

The correct option is B $4 m i n 12 s$
Heat required is: $Q_{1} = 1 \times 4200 \times (100 - 75) = 315000$ $J$
Now kettle can remove $1.25 K J / s e c o r 250 J / s$
So, $t = \frac{315000}{1250} = 252 s e c = 4 m i n 12 s e c$

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