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Three liquids A, B and C having same spe...

Three liquids `A, B` and `C` having same specific heat and mass m , `2`m and `3` m have temperature `20^(@)C , 40^(@)C` and `60^(@)C` respectively. Temperature of the mixture when:
`{:(,"Column-I",,"Column-II"),((A),"A and B are mixed",(p),33^(@)C),((B),"A and C are mixed",(q),52^(@)C),((C),"B and C are mixed",(r),50^(@)C),((D),"A,B and C all three are mixed",(s),46^(@)C),(,,(t),"None"):}`

Text Solution

Verified by Experts

When `A` & `B` are mixed ms (`T-20) = (2m) s (40-T) implies T =(100)/(3) = 33.3^(@)C`
When `A` & `C` are mixed ms`(T-20) = (3m)s (60-T) implies T = 50^(@)C`
When `B` & `C` are mixed `(2m)s (T-40) = (3m)s (60-T) implies T = 52^(@)C`
When `A ,B` & `C` are mixed `ms(T-20) + (2m)s (T-40) = (3m)s (60-T) implies T = 46.67^(@)C`
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