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Three liquids P,Q and R are given 4 kg o...

Three liquids P,Q and R are given 4 kg of P at `60^@C` and 1kg of R at `50^@C` when mixed produce a resultant temperature `55^@C` . A mixture of 1kg of P at `60^@C` and 1kg of Q at `50^@C` shows a temperature of `55^@C` . What will be the resulting temperature when 1 kg of Q at `60^@C` is mixed with 1 kg of R at `50^@C`?

Text Solution

Verified by Experts

The correct Answer is:
52
4 kg of P at `60^(@) C ` and 1 kg of R at `50^(@)C`
` :. 4S_(p) xx 5 = 1 xx S_(R) xx 5`
`rArr (S_(p))/(S_(R))=1/4`
Again ,`S_(p) (60-T) =S_(R ) (T-50)`
`rArr (S_(P))/(S_(R)) (60-T) = T - 50`
` rArr 60 - T = 4T - 200`
`rArr 5T = 260 " " rArr T = 260/5 = 52^(@)C`
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