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

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

JEE MainJEE Main 2017Thermal Properties of Matter

Solution:

Q given = Q used
$\Rightarrow m _{1} C _{1} \Delta T _{1}=\left( m _{2}+ w \right) C _{2} \Delta T _{2}$
$\Rightarrow 0 . 2 0 \times C _{1} \times( 1 5 0 - 4 0 )=\left( 1 5 0 \times 1 0 ^{-3}\right)$
$C _{1}= 4 3 4 ~ y k g ^{-1} k ^{-1}$