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10-1.Thermometry, Thermal Expansion and Calorimetry
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The heat required to change $1 \,kg$ of ice at $-8^{\circ} C$ into water at $20^{\circ} C$. at $1 \,atm$ of pressure, is closest to .............$\,kJ$ (Assume that ice has a specific heat capacity $2.1 \,kJ / kg / K$. water has a specific heat capacity $4.2 \,kJ / kg / K$, and latent heat of fusion of ice is $333 \,kJ / kg$ )
A
$414$
B
$424$
C
$434$
D
$444$
(KVPY-2021)
Solution
(C)
$-8^{\circ} C$ to $0^{\circ} C$ ice $\Rightarrow 1 \times 2.1 \times 8 \Rightarrow 16.8 \,kJ$
$0^{\circ} C$ ice to $0^{\circ} C$ water $\Rightarrow 1 \times 333 \Rightarrow 333 \,kJ$
$0^{\circ} C$ water to $20^{\circ} C$ water $\Rightarrow 1 \times 4.2 \times 20 \Rightarrow$ $84 \,kJ$
$\therefore$ total heat required
$\Rightarrow 333+84+16.8$
$\Rightarrow 433.8 \Rightarrow 434$
Standard 11
Physics
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