Question

The temperatures 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. 15⁰C
• B. 18.2⁰C
• C. 20.25⁰C
• D. 24.5⁰C

Answer 1

Answer: (C)

20.25⁰C

Answer 2

ms_A × 4 = ms_B × Ž 4s_A = 3s_B ....(i)

ms_B × 4 = ms_C × 5 Ž 4s_B = 5s_C ....(ii)

By (i) & (ii)

16s_A = 15 s_C ....(iii)

ms_A (q – 12) = ms_C (28 – q) ....(iv)

By (i) & (iv)

q = 20.25⁰C