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When 100 g of a liuqid A at 100^(@)C...

When 100 g of a liuqid A at `100^(@)C` is added to 50 g of a liquid B at temperature `75^(@)C`, the temperature of the mixture, if 100g of liquid A at `100^(@)C` is added to 50 g of liquid B at `50^(@)C` will be.

A

`80^@C`

B

`60^@C`

C

`70^@C`

D

`85^@C`

Text Solution

Verified by Experts

The correct Answer is:
A
`1^(st)` condition
`DeltaQ_g=DeltaQ_1`
`100 xx S_A xx (100-90)=50xxS_Bxx(90-75)` …(i)
`2^(nd)` condition
`Delta theta_g=Delta theta_l`
`100xxS_A(100-theta)=50xxS_B(theta-50)` ….(ii)
dividing (ii) by (i)
`(100-theta)/(100-90)=(theta-50)/(90-75)`
`300-3theta=2theta-100`
`theta=80^@C`
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