The temperatures of equal masses of three different liquids A , B and C are 12 ° C , ⁡ 1 9 ° C and 28 ° C respectively. The temperature when A and B are mixed is 16 ° C and when B and C are mixed it is 23 ° C . The temperature when A and C are mixed will be

Question

The temperatures of equal masses of three different liquids A , B and C are 12 ° C , ⁡ 1 9 ° C and 28 ° C respectively. The temperature when A and B are mixed is 16 ° C and when B and C are mixed it is 23 ° C . The temperature when A and C are mixed will be, 15 ° C, 18.2 ° C, 20.25 ° C, 24.5 ° C

MARKS App · Accepted Answer

when A and B are mixed m s A × 16 ° - 12 ° = m s B × 19 ° - 16 ° ⇒ m s A × 4 = m s B × 3 ⇒ 4 s A = 3 s B ....(i) when B and C are mixed m s B × 23 ° - 19 ° = m s C × 28 ° - 23 ° ⇒ m s B × 4 = m s C × 5 ⇒ 4 s B = 5 s C ....(ii) By (i) & (ii) 16 s A = 15 s C ....(iii) when A and C are mixed m s A θ - 12 = m s C 28 - θ ....(iv) By (iii) & (iv) θ = 20.25 ° C

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