
What would be the final temperature of the mixture when five grams of ice at are mixed with twenty grams of water at . Specific heat of ice and latent heat of water are respectively.
Answer
502.5k+ views
1 likes
Hint: The total heat lost by the water will be equal to the sum of heat energy needed to change the temperature of ice from given to zero degrees and latent heat to change the state of matter and heat absorbed by water which is melted ice.
Formulas used:
Complete answer:
Let us write down all the given values,
mass of ice, mass of water, temperature of ice, temperature of water, specific heat of ice, latent heat of water and final temperature as
Now, the total heat lost by water is equal to the sum of the energy needed to change ice to zero degrees plus the latent heat to change the state of ice plus the heat absorbed to get into final temperature.
That is,
Therefore, the final temperature of the mixture will be .
Additional information:
Specific heat is the energy required to change the temperature of one gram of any material by just one degree. The units for specific heat are energy per unit mass per degree. Latent heat is the net energy required or absorbed to change the state of a matter that could be solid, liquid or gas of a unit mass of any material without changing the temperature of the material. The latent heat associated with melting a solid or freezing a liquid is called latent heat of fusion and with that of vapour is latent heat of vaporization.
Note:
There will not be any change in temperature of the material when latent heat is released or absorbed. Also, specific heat of any material is independent of the temperature of the material. The heat capacity of water is abnormal because of the hydrogen bonding between the molecules.
Formulas used:
Complete answer:
Let us write down all the given values,
mass of ice, mass of water, temperature of ice, temperature of water, specific heat of ice, latent heat of water and final temperature as
Now, the total heat lost by water is equal to the sum of the energy needed to change ice to zero degrees plus the latent heat to change the state of ice plus the heat absorbed to get into final temperature.
That is,
Therefore, the final temperature of the mixture will be
Additional information:
Specific heat is the energy required to change the temperature of one gram of any material by just one degree. The units for specific heat are energy per unit mass per degree. Latent heat is the net energy required or absorbed to change the state of a matter that could be solid, liquid or gas of a unit mass of any material without changing the temperature of the material. The latent heat associated with melting a solid or freezing a liquid is called latent heat of fusion and with that of vapour is latent heat of vaporization.
Note:
There will not be any change in temperature of the material when latent heat is released or absorbed. Also, specific heat of any material is independent of the temperature of the material. The heat capacity of water is abnormal because of the hydrogen bonding between the molecules.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

What is the technique used to separate the components class 11 chemistry CBSE

Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

Give two reasons to justify a Water at room temperature class 11 chemistry CBSE
