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. `86.2%`
B. `33.6%`
C. `21%`
D. `24.36%`

Answer

A

Explanation

Let x = percentage of water solidified then heat lost = Heat gained
`implies x xx 3.36 xx 10^(5) = (100 - x) xx 21 xx 10^(5)`
`implies x= (100)/(1.16) = 86.2%`