2 kg of ice at `-20^(@)C` is mixed with 5kg of water at `20^(@)C`. The water content of the final mixture is (Latent heat of ice `="80 kcal kg"^(-1)`, the specific heat of water `="1 kcal kg"^(-1).^(@)C^(-1)` and specific heat of ice `="0.5 kcal kg"^(-1).^(@)C^(-1)`)

Options

A. `2xx10^(-2)`
B. `2xx10^(-3)`
C. `4xx10^(-2)`
D. `4xx10^(-3)`

Explanation

` (triangleQ)/(trianglet)|_("layer 1")` = `(triangleQ)/(trianglet)|_("layer 2")`
`implies(0.06xxAxx5)/(1.5xx10^(-2))=(K_(2)xxAxx14)/(1.4xx10^(-2))impliesK_(2)=0.02W//mK`