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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
Heat lost by `A=` heat gained by B
`impliesm_Axxc_Axx(T_A-T)=m_Bxxc_Bxx(T-T_B)`
Since `m_A=m_B` and temperature of the mixture `(T)=28^@C`
`:. C_Axx(32-28)=c_Bxx(28-24)`
`implies(c_A)/(c_B)=1:1`
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Knowledge Check

  • Two liquids 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`

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    A
    `4:3`
    B
    `3:4`
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    D
    `3:2`

  • Two liquids are at 40^@ C and 30^@ C . When they are mixed in equal masses, the temperature of the mixture is 36^@ C . Ratio of their specific heats is

    A
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