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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) = 1615\frac { 16 } { 15 } sA (28 – q)

15q – 180 = 448 – 16q

̃ \ 31q = 628 ̃ q = 20.25°