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A certain mass of a solid exists at its ...

A certain mass of a solid exists at its melting temperature of `20^(@)C`. When a heat Q is added `(4)/(5)` 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 `J g^(-1) .^(@)C^(-1)`) for the material.

A

`20`

B

`40`

C

`50`

D

`60`

Text Solution

Verified by Experts

The correct Answer is:
C
`Q = (4)/(5)m.L"………"`
`2Q = mL +ms(50 - 20)`
`rArr (8)/(5)mL = mL + 30 ms`
`rArr (3L)/(5) = 30 s rArr (L)/(s) = 50`
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