Question
Question: The temperature of equal masses of three different liquids A, B and C are 12<sup>0</sup>C, 19<sup>0<...
The temperature of equal masses of three different liquids A, B and C are 120C, 190C and 280C respectively. The temperature when A and B are mixed is 160C. When B and C are mixed it is 230C. The temperature when A and C are mixed will be –
A
150 C
B
18.20 C
C
20.250 C
D
24.50 C
Answer
20.250 C
Explanation
Solution
When A and B are mixed
msA (16 – 12) = msB (19 – 16) ; 4sA = 3sB .... (i)
when B and C are mixed msB ;
(23–19)= msC (28 – 23)
4sB = 5sC …….. (ii) By (i) and (ii)
16sA = 15sC When A and C are mixed
msA(q–12) = msC (28– q)
̃sA (q –12) = 1516 sA (28 – q)
15q – 180 = 448 – 16q
̃ \ 31q = 628 ̃ q = 20.25°