Question

$2$ kg of a liquid at ${100}^{\circ }C$ is poured in a bucket having the same liquid of mass $8$ kg at ${12}^{\circ }C$. Find the final temperature of the mixture when its specific heat capacity is $130J{kg}^{-1}{K}^{-1}$.

• A. ${50}^{\circ }C$
• B. ${24.6}^{\circ }C$
• C. ${49.3}^{\circ }C$
• D. ${29.6}^{\circ }C$

Answer 1

The correct option is D ${29.6}^{\circ }C$

Heat gain is equal to heat loss. Let final temperature be $T$.

So,

$\Rightarrow 2000\times 1\times (100-T)=8000\times 1\times (T-12)\Rightarrow 200-2T=8T-96\Rightarrow 10T=200+96\Rightarrow T=29.6℃$