In an experiment a sphere of aluminium of mass $0.20\; kg$ is heated upto $150^0C$. Immediately, it is put into water of volume $150 \; cc$ at $27^0\;C$ kept in a calorimeter of water equivalent to $0.025\; kg.$ Final temperature of the system is $40^0C.$ The specific heat of aluminium is : (take 4.2 Joule=1 calorie)

Question

$\begin{array}{1 1}(1)\; 378 J/kg -^0C\\(2)\; 315 J/kg -^0 C \\(3)\; 476 J/kg-^0 C\\(4)\; 434 J/kg-^0 C \end{array}$