Thermal Properties Of Matter Ques 21

21. An electric kettle takes $4 $ $A$ current at $220$ $ V$. How much time will it take to boil $1 $ $kg$ of water from temperature $20^{\circ} C$ ? The temperature of boiling water is $100^{\circ} C$.

[2008]

(a) $6.3 $ $min$

(b) $8.4 $ $min$

(c) $12.6 $ $min$

(d) $4.2 $ $min$

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Answer:

Correct Answer: 21.(a)

Solution:

  1. (a) Heat required to raise the temperature of $1$ $ kg$ water from $20^{\circ} C$ to $100^{\circ} C$ is given by $Q=ms \Delta \theta=(1 \times 4200 \times 80) J$

Power of kettle $(P)=VI=(220 \times 4) W$

$\therefore$ Time taken $=\frac{Q}{P}=\frac{1 \times 4200 \times 80}{220 \times 4}$

$ =381.81 $ $sec=6.36$ $ min $