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10-1.Thermometry, Thermal Expansion and Calorimetry
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$1\, kg$ of ice at $-10\,^oC$ is mixed with $4.4\, kg$ of water at $30\,^oC$. The final temperature of mixture is ........ $^oC$ (specific heat of ice is $2100\, J/kg/k$)
A
$2.3$
B
$4.4$
C
$5.3$
D
$8.7$
Solution
Let temperature of mixture be $\theta$ then heat lost $=$ Heat gained $\Rightarrow 4.4 \times 1 \times(30=\theta)=1 \times 0.5 \times(10)+1 \times 80$
$+1 \times 1 \times(\theta-0)$
$\Rightarrow \theta=8.7^{\circ} \mathrm{C}$
Standard 11
Physics
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