A thermal insulated vessel contains some water at `0^(@)C`. The vessel is connected to a vaccum pump to pum out water vapour. This results in some water getting frozen. It is given latent heat of vaporization of water at `0^(@)C = 21 xx 10^(5) J//kg` and latent heat of freezing of water `=3.36 xx 10^(5) J//kg`. the maximum percentage amount of water vapour that will be solidified in this manner will be:

Options

A. `12%`
B. `18%`
C. `88%`
D. `100%`

Answer

C

Explanation

Let `m_(i)` be the amount of water that gets freezed out of Mg of water `0^(@)C` due to evaporation.
Now, `m_(i)xx80=(M-m_(i))580`
`implies(m_(i))/(M)=(580)/(660)=0.878`
So, maximum `%=87.8%~=88`