Question

16. The temperature of equal masses of three different
liquids A, B and Care 12°C, 19°C and 28°C respectively.
The temperature, when A and B are mixed, is 16°C,
and when B and C are mixed, is 23°C. What will be
the temperature when A and C are mixed ?
​

Answer 1

The temp. of A = 12°C The temp. of B = 19°C The temp. of C = 28°C The temp of => A + B = 16° The temp. of => B + C = 23° In accordance with the principle of caloriemetry when A & B are mixed MCA (16 – 12) = MCB (19 – 16) => CA4 = CB3 => CA = 3/4CB …(1) And when B & C are mixed MCB (23 – 19) = MCC (28 – 23) => 4CB = 5CC => CC = 4/5CB …(2) When A & c are mixed, if T is the common temperature of mixture MCA(T – 12) = MCC(28 – T) => (3/4)CB(T - 12) = (4/5)CB(28 - T) => 15T - 180 = 448 - 16T => T = 625/31 = 20.258°C = 20.3°CRead more on Sarthaks.com - https://www.sarthaks.com/63047/the-temperatures-equal-masses-three-different-liquids-are-12c-19c-and-28c-respectively