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10-1.Thermometry, Thermal Expansion and Calorimetry
hard
A mass of material exists in its solid format its melting temperature $0\,^o C$. The following processes then occur to the material
Process $-1$:An amount of thermal energy $Q$ is added to the material and $\frac{2}{3}$ of the material melts.
Process $-2$:An identical additional amountof thermal energy $Q$ is added to the materlal is now a liquid at $4\,^o C$
........ $^oC$ is the ratio of the latent heat of fusion to the specific heat of the liquid for this material.
A
$120$
B
$60$
C
$40$
D
$20$
Solution
$\frac{2}{3} \mathrm{mL}=\mathrm{Q}$
$Q=\frac{m L}{3}+m s \times 40$
$\Rightarrow \mathrm{ms} 40=\frac{\mathrm{mL}}{3} \Rightarrow \frac{\mathrm{L}}{\mathrm{s}}=120$
Standard 11
Physics