JEE Exam  >  JEE Questions  >  The specific heat of water = 4200 J kg-1K-1an... Start Learning for Free
The specific heat of water = 4200 J kg-1K-1 and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)
  • a)
    69.3
  • b)
    63.8
  • c)
    64.6
  • d)
    61.7
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The specific heat of water = 4200 J kg-1K-1and the latent heat of ice ...
Here, the water will provide heat for ice to melt. Therefore,

= 0.0617 kg
= 61.7 grams
Remaining ice will remain unmelted.
View all questions of this test
Most Upvoted Answer
The specific heat of water = 4200 J kg-1K-1and the latent heat of ice ...


Given Data:
- Specific heat of water = 4200 J kg-1K-1
- Latent heat of ice = 3.4 x 105 J kg-1
- Mass of ice (m1) = 100 g
- Initial temperature of ice = 0°C
- Mass of water (m2) = 200 g
- Initial temperature of water = 25°C

Approach:
1. Calculate the heat lost by water to reach 0°C.
2. Calculate the heat required to melt the ice at 0°C.
3. Equate the two to find the mass of ice melted.

Calculations:
1. Heat lost by water:
Q1 = m2 * cwater * ΔT
Q1 = 200 * 4200 * (25-0)
Q1 = 2,100,000 J

2. Heat required to melt ice:
Q2 = m1 * Lice
Q2 = 100 * 3.4 x 105
Q2 = 3,400,000 J

3. Equating Q1 = Q2:
2,100,000 = 3,400,000 + m * 4200 * 25
m = (2,100,000 - 3,400,000) / (4200 * 25)
m ≈ 61.7 g

Therefore, the amount of ice that will melt as the temperature of water reaches 0°C is approximately 61.7 grams. Hence, the correct answer is option 'D'.
Explore Courses for JEE exam

Similar JEE Doubts

The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer?
Question Description
The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer?.
Solutions for The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The specific heat of water = 4200 J kg-1K-1and the latent heat of ice = 3.4 × 105 J kg-1. 100 grams of ice at 0°C is placed in 200 g of water at 25°C. The amount of ice that will melt as the temperature of water reaches 0°C is close to (in grams) (Answer upto 1 decimal place)a)69.3b)63.8c)64.6d)61.7Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev