SATHEE: Properties Of Solids And Liquids Question 588

Properties Of Solids And Liquids Question 588

Question: Three liquids with masses $m_{1}, m_{2}, m_{3}$ are thoroughly mixed. If their specific heats are $c_{1}, c_{2}, c_{3}$ and their temperatures $T_{1}, T_{2}, T_{3}$ respectively, then the temperature of the mixture is

Options:

A) $\frac{c_{1} T_{1} + c_{2} T_{2} + c_{3} T_{3}}{m_{1} c_{1} + m_{2} c_{2} + m_{3} c_{3}}$

B) $\frac{m_{1} c_{1} T_{1} + m_{2} c_{2} T_{2} + m_{3} c_{3} T_{3}}{m_{1} c_{1} + m_{2} c_{2} + m_{3} c_{3}}$

C) $\frac{m_{1} c_{1} T_{1} + m_{2} c_{2} T_{2} + m_{3} c_{3} T_{3}}{m_{1} T_{1} + m_{2} T_{2} + m_{3} T_{3}}$

D) $\frac{m_{1} T_{1} + m_{2} T_{2} + m_{3} T_{3}}{c_{1} T_{1} + c_{2} T_{2} + c_{3} T_{3}}$

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Answer:

Correct Answer: B

Solution:

Let the final temperature be $T^{\circ} C$ . Total heat supplied by the three liquids in coming down to $0^{\circ} C$ = $m_{1} c_{1} T_{1} + m_{2} c_{2} T_{2} + m_{3} c_{3} T_{3}$ ….. (i) Total heat used by three liquids in raising temperature from $0^{\circ} C$ to $T^{\circ} C$ = $m_{1} c_{1} T + m_{2} c_{2} T + m_{3} c_{3} T$ …..(ii) By equating (i) and (ii) we get $(m_{1} c_{1} + m_{2} c_{2} + m_{3} c_{3}) T$ = $m_{1} c_{1} T_{1} + m_{2} c_{2} T_{2} + m_{3} c_{3} T_{3}$

$\Rightarrow$ $T = \frac{m_{1} c_{1} T_{1} + m_{2} c_{2} T_{2} + m_{3} c_{3} T_{3}}{m_{1} c_{1} + m_{2} c_{2} + m_{3} c_{3}}$ .

Properties Of Solids And Liquids Question 588

Question: Three liquids with masses $m_{1}, m_{2}, m_{3}$ are thoroughly mixed. If their specific heats are $c_{1}, c_{2}, c_{3}$ and their temperatures $T_{1}, T_{2}, T_{3}$ respectively, then the temperature of the mixture is

Options:

Answer:

Solution:

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Properties Of Solids And Liquids Question 588

Question: Three liquids with masses m1,m2,m3 are thoroughly mixed. If their specific heats are c1,c2,c3 and their temperatures T1,T2,T3 respectively, then the temperature of the mixture is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: Three liquids with masses $m_{1}, m_{2}, m_{3}$ are thoroughly mixed. If their specific heats are $c_{1}, c_{2}, c_{3}$ and their temperatures $T_{1}, T_{2}, T_{3}$ respectively, then the temperature of the mixture is