The melting temperature of a certain mass of a solid object is $$20$$°C. When a heat Q is added to the object, its $$34material$$ melts. When an additional amount of Q heat is added the material transforms to its liquid state at $$50$$°C. Find the ratio of specific latent heat of fusion (in$$ $$J/g) to the specific heat capacity of the liquid (in$$ J $$g-1$$ °$$C-1) for the material.

Question

The melting temperature of a certain mass of a solid object is $$20$$°C. When a heat Q is added to the object, its $$34material$$ melts. When an additional amount of Q heat is added the material transforms to its liquid state at $$50$$°C. Find the ratio of specific latent heat of fusion (in$$ $$J/g) to the specific heat capacity of the liquid (in$$ J $$g-1$$ °$$C-1) for the material.

Infinity Learn · Accepted Answer

Let the mass of the solid object be m, and specific latent heat of fusion be L ,According to problem, $$Q=34mL$$ ……..(i)2Q=mL+ms(50$$−$$20)   ………(ii)From$$ $$(i) and (ii), $$32mL=mL+30ms$$⇒$$L2=30s$$⇒$$Ls=60$$

Q.

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