A) 7kg
B) 6kg
C) 4kg
D) 2kg
Correct Answer: B
Solution :
Initially ice will absorb heat to raise its temperature to \[0{}^\circ C\] then it's melting takes place |
If \[{{m}_{1}}\]= Initial mass of ice, \[{{m}_{2}}\]' = Mass of ice that melts and \[{{m}_{W}}\]= Initial mass of water |
By Law of mixture |
Heat gained by ice = Heat lost by water |
\[\Rightarrow {{m}_{1}}\times \left( 20 \right)+{{m}_{1}}'\times L={{m}_{W}}{{c}_{W}}\left[ 20 \right]\] |
\[\Rightarrow 2\times 0.5\left( 20 \right)+{{m}_{1}}'\times 80=5\times I\times 20\] |
\[\Rightarrow {{\text{m}}_{\text{1}}}\text{ }\!\!'\!\!\text{ =1kg}\] |
So, final mass of water = Initial mass of water + Mass of |
Ice that melts = 5 +1 = 6kg |
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