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JEE Main 202225 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Evening Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2022 · 25 July · Evening Shift · Physics · Thermal Properties of Matter

A block of ice of mass 120g at temperature 0 ° C is put in 300g of...

A block of ice of mass 120g120g at temperature 0°C0 ° C is put in 300g300g of water at 25°C25 ° C. The xgxg of ice melts as the temperature of the water reaches 0°C0 ° C. The value of xx is

[Use: Specific heat capacity of water =4200Jkg−1K−1= 4200J{kg}^{- 1}{K}^{- 1}, Latent heat of ice =3.5×105Jkg−1= 3 . 5 \times {10}^{5}J{kg}^{- 1}]

Correct answer

0

Step-by-step solution

According to the principle of calorimetry, heat lost by hot body is equal to the heat gained by cold body.

The heat released by water

∆Q=ms∆T=0.3×4200×25=31500J∆ Q = ms ∆ T = 0 . 3 \times 4200 \times 25 = 31500J

let mkgmkg ice melts then,

∆Q=mL=m×3.5×105=31500J∆ Q = mL = m \times 3 . 5 \times {10}^{5} = 31500J

⇒m=31500×10−53.5=9000×10−5⇒ m = \dfrac{31500 \times {10}^{- 5}}{3 . 5} = 9000 \times {10}^{- 5}

m=0.09kg=90gm = 0 . 09kg = 90g

⇒x=90⇒ x = 90

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