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JEE Main 20204 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
4 September
Shift
Morning Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2020 · 4 September · Morning Shift · Physics · Thermal Properties of Matter

The specific heat of water = 4200J kg ^ – 1 K ^ – 1 and the latent...

The specific heat of water =4200J= 4200\text{J} kg–1K–1{\text{kg}}^{– 1}{\text{K}}^{– 1} and the latent heat of ice =3.4×105J= 3.4 \times {10}^{5}\text{J} kg–1{\text{g}}^{– 1}. 100100 grams of ice at 0oC0{}^{\text{o}}\text{C} is placed in 200g200\text{g} of water at 25oC25{}^{\text{o}}\text{C}. The amount of ice that will melt as the temperature of water reaches 0oC0{}^{\text{o}}\text{C} is close to (in grams)

Options

  1. A61.761.7
  2. B63.863 . 8
  3. C69.369 . 3
  4. D64.664 . 6

Correct answer

A. 61.761.7

Step-by-step solution

MSΔT=MlMS \Delta T = Ml

2001000×4200×25=m×340×103\dfrac{200}{1000} \times 4200 \times 25 = m \times 340 \times {10}^{3}

m=61.7m = 61 . 7

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