A vessel contains 110 , ,g of water. The heat capacity of the ves… - Vidyadip

MCQ

A vessel contains $110\,\,g$ of water. The heat capacity of the vessel is equal to $10\,\,g$ of water. The initial temperature of water in vessel is $10\,^oC.$ If $220\,\,g$ of hot water at $70\,^oC$ is poured in the vessel, the final temperature neglecting radiation loss, will be nearly equal to ........ $^oC$

A
$46$
B
$47$
C
$48$
✓
$49$

✓

Answer

Correct option: D.

$49$

d
Let final temperature of water be $\theta$

Heat taken $=$ Heat given

and heat $Q=$ m.c. $\Delta \theta$

$110 \times 1(\theta-10)+10(\theta-10)=220 \times 1(70-\theta)$

$\Rightarrow \theta=48.8^{\circ} C \approx 50^{\circ} C$

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