In a container of negligible heat capacity, 200 g ice at `0^(@)C` and 100 g steam at `0^(@)C` are added to 200 g of water that has temperature `55^(@)C` Assume no heat is lost to the surroundings and the pressure in the container is constant 1.0 atm.
Three liquids A, B and C having same specific heat and mass m, 2m and 3m have temperature `20^(@)C, 40^(@)C and 60^(@)C` respectively. Temperature of the mixture when

Now match the given columns and select the correct option the codes given below.

Options

A. A
B. B
C. C
D. D

Answer

B

Explanation

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