1. Tardigrade
  2. Question
  3. Physics
  4. A small quantity, mass m, of water at a temperature θ (in ° C ) is poured on to a larger mass M of ice which is at its melting point. If c is the specific heat capacity of water and L the specific heat capacity of water and L the specific latent heat of fusion of ice, then the mass of ice melted is given by

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Q. A small quantity, mass $m$, of water at a temperature $\theta$ (in ${ }^{\circ} C$ ) is poured on to a larger mass $M$ of ice which is at its melting point. If $c$ is the specific heat capacity of water and $L$ the specific heat capacity of water and $L$ the specific latent heat of fusion of ice, then the mass of ice melted is given by

Thermal Properties of Matter

Solution:

By the principle of mixture, heat given out by water = heat absorbed by the melted ice
$\Rightarrow m c(\theta-0)=M L$
$\Rightarrow M=\frac{m c \theta}{L}$