The melting temperature of a certain mass of a solid object is 20°C. When a heat Q is added to the object, its 34 of the material melts. When an additional Q amount of 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 Jg−1∘C−1 ) for the material.
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answer is 60.
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Detailed Solution
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