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Conduction Law

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 to rise from $25^{\circ} C$ to its boiling point $100^{\circ} C$ . Specific heat capacity of water = $4.20 J g^{- 1} K^{- 1}$ :

A

126 s

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B

252 s

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C

504 s

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D

none of the above

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Solution

The correct option is C. $252 s$ .
Heat required is $Q = m s Δ T$
$Q = 1000 \times 4.2 \times (100 - 25) = 315000 J$
so the time required by heater of power $1250 W$ to supply this amount of heat is
$t = \frac{Q}{P} = \frac{315000}{1250} = 252 s e c$ .
$∵ P = \frac{E n e r g y}{T i m e}$

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