Home
Class 11
PHYSICS
The temperature of equal masses of three...

The temperature of equal masses of three different liquids x, y and z are `10^(@)C, 20^(@)C` and `30^(@)C` respectively. The temperature of mixture when x is mixed with y is `16^(@)C` and that when y is mixed with z is `26^(@)C`. The temperature of mixture when x and z are mixed will be :

A

`25.62^@C`

B

`20.28^@C`

C

`28.32^@C`

D

`23.84^@C`

Text Solution

Verified by Experts

The correct Answer is:
D
When A & B are mixed,
`m_1S_1(16-10)=m_2S_2(20-16)`
`6m_1S_1=4m_2S_2`
When B & C are mixed,
`m_2S_2(26-20)=m_3S_3(30-26)`
`6m_2S_2=4m_3S_3`
From equation (i) and (ii)
`9m_1S_1=4m_3S_3`
When A & C are mixed
`m_1S_1(T-10)=m_3S_3(30-T)`
`T=(30m_3S_3+10m_1S_1)/(m_1S_1+m_3S_3)`
`T=(10(3m_3S_3+m_1S_1))/(m_3S_3+m_1S_1)`
`T=(10(3m_3S_3+4/9m_3S_3))/(m_3S_3+4/9m_3S_3)`
`T=(10xx31)/(13)=23.84^@C`
Promotional Banner

Similar Questions

Explore conceptually related problems

The temperature of equal masses of three different liquids A, B , and C are 10^(@)C 15^(@)C and 20^(@)C respectively. The temperature when A and B are mixed is 13^(@)C and when B and C are mixed. It is 16^(@)C . What will be the temperature when A and c are mixed?

The temperature of equal masses of three different liquids A,B and C are 12^@C, 19^@C and 28^@C respectively. The temperature when A and B are mixed is 16^@C and when B and C are mixed it is 23^@C . What should be the temperature when A and C are mixed?

The temperature of equal masses of three different liquied A ,B and C are 12^(@),18^(@),19^(@) and 28^(@) respectively. The temperature when A and B are mixed is 16^(@) and when Band C are mixed it is 23^(@) what will be the temperaturewhen A and c are mixed?

The temperature of equal masses of three different liquids A, B and C are 30^@C , 60^@C and 75^@C respectively. The temperature when A and B are mixed is 50^@C and when B and C are mixed, it is 70^@C . The equilibrium temeprature when A and C are mixed will be

The temperatures of equal masses of three different liquids A, D and C are 12^@C , 19^@C and 28^@C , respectively. The temperature when A and B are mixed is 16^@C , while when B and C are mixed, it is 23^@C . What would be the temperature when A and C are mixed?

The temperature of samples of three liquids A, B and C are 12^(@)C , 19^(@)C and 28^(@)C respectively. The temperature when A and B are mixed is 16^(@)C and when B and C are mixed it is 23^(@)C . (i) What should be the temperature when A and C are mixed? (ii) What is final temperature if all the three liquids are mixed? Assume no heat loss to the surrounding.

The temperatures of equal masses of three different liquids A, B and C are 15^@C , -20^@C and 30^@C , respectively. When A and B are mixed their equilibrium temperature is 180^@C . When B and C are mixed, it is 22^@C .What will be the equilibrium temperature when liquids A and C are mixed

When a hot liquid is mixed with a cold liquid, the temperature of the mixture

Equal masses of three liquids A, B and C have temperature 10^(@)C, 25^(@)C and 40^(@)c respectively. If A and B are mixed, the mixture has a temperature of 15^(@)C . If B and C are mixed, the mixture has a temperature of 30^(@)C , if A and C are mixed will have a temperature of

The temperature of three different liquids A,B and C are 14^(@)C, 24^(@)C and 34^(@)C respectively. When equal masses of A and B are mixed, the temperature of the mixture is 20^(@)C . When equal masses of B and C are mixed, the temperature of the mixture is 31^(@)C . Supposing equal masses of A and C were mixed, what would be the temperature of the mixture?