1. Tardigrade
  2. Question
  3. Physics
  4. A block of ice of mass 120 g at temperature 0° C is put in 300 gm of water at 25° C. The xg of ice melts as the temperature of the water reaches 0° C. The value of x is [Use: Specific heat capacity of water =4200 Jkg -1 K -1, Latent heat of ice .=3.5 × 105 Jkg -1]

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Q. A block of ice of mass $120\, g$ at temperature $0^{\circ} C$ is put in $300\, gm$ of water at $25^{\circ} C$. The $xg$ of ice melts as the temperature of the water reaches $0^{\circ} C$. The value of $x$ is
[Use: Specific heat capacity of water $=4200\,Jkg ^{-1} K ^{-1}$, Latent heat of ice $\left.=3.5 \times 10^5 \,Jkg ^{-1}\right]$

JEE MainJEE Main 2022Thermal Properties of Matter

Solution:

Energy released by water $=0.3 \times 25 \times 4200=31500 J$
let $m kg$ ice melts
$m \times 3.5 \times 10^5=31500$
$m =\frac{31500 \times 10^{-5}}{3.5}=9000 \times 10^{-5} $
$ m =0.09 \,kg =90 \,gm $
$x =90$