An ice box used for keeping eatables cool has a total wall area of `1m^2` and a wall thickness of 5.0 cm. The thermal conductivity of the ice box is `K=0.01 J//m^@C`. It is filled with large amount of ice at `0^@C` along with eatables on a day when the temperature is `30^@C` The latent heat of fusion of ice is `334xx10^3 J//kg`. The amount of ice melted in one day is ( 1 day`=86,000s`)

Options

A. 776 g
B. 7760 g
C. 11520 g
D. 1522 g

Answer

D

Explanation

Quantity of heat transferred through wall wil be utilized in melting of ice.
`Q=(KaDeltathetat)/(Deltax)=mL`
`:.` Amount of ice melted `m=(KaDeltathetat)/(DeltaxL)`
`:. m=(0.01xx1xx(30-0)xx86400)/(5xx10^(-2)xx334xx10^3)=1.552kg` or `1552g`