SATHEE: Properties Of Solids And Liquids Question 541

Properties Of Solids And Liquids Question 541

Question: The temperature of equal masses of three different liquids A, B and C are $12^{\circ} C,$

$19^{\circ} C$ and $28^{\circ} C$ respectively. The temperature when A and B are mixed is $16^{\circ} C$ and when B and C are mixed is $23^{\circ} C,$ The temperature when A and C are mixed is

Options:

A) $18.2^{\circ} C$

B) $22^{\circ} C$

C) $20.2^{\circ} C$

D) $25.2^{\circ} C$

Show Answer

Answer:

Correct Answer: C

Solution:

Heat gain = heat lost

$c_{A} (16 - 12) = c_{B} (19 - 16) \Rightarrow \frac{c_{A}}{c_{B}} = \frac{3}{4}$

and $c_{B} (23 - 19) = c_{C} (28 - 23) \Rightarrow \frac{c_{B}}{c_{C}} = \frac{5}{4}$

$\Rightarrow \frac{c_{A}}{c_{C}} = \frac{15}{16} \dots \dots \dots (i)$

If $θ$ is the temperature when A and C are mixed then,

$c_{A} (θ -12) = c_{C} (28 - θ) \Rightarrow \frac{c_{A}}{c_{C}} = \frac{28 - θ}{θ -12} \dots (i i)$

On solving equations (i) and (ii) $9 = 20.2^{\circ} C$

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Properties Of Solids And Liquids Question 541

Question: The temperature of equal masses of three different liquids A, B and C are 12∘C,

Options:

Answer:

Solution:

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Question: The temperature of equal masses of three different liquids A, B and C are $12^{\circ} C,$