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Two liquid A and B are at 32^@C and 24^@...

Two liquid A and B are at `32^@C` and `24^@C`. When mixed in equal masses the temperature of the mixture is found to be `28^@C`. Their specific heats are in the ratio of

A

`3:2`

B

`2:3`

C

`1:1`

D

`4:3`

Text Solution

Verified by Experts

The correct Answer is:
C

emperature of mixture `theta_(mix)=(theta_(A) c_(A)+ theta_(B) c_(B))/(c_(A)+c_(B))`
`rArr 28=(32xxc_(A)+24 xx c_(B))/(c_(A)+c_(B))`
`rArr 28c_(A)+28c_(B)=32c_(A)+24c_(B)= rArr (c_(A))/(c_(B))=(1)/(1)`
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