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JEE Main202126 Aug 2021Evening ShiftPhysicsThermal Properties of MatterActual

The temperature of equal masses of three different liquids x , y and z are 10 ° C , 20 ° C and 30 ° C respectively. The temperature of mixture when x is mixed with y is 16 ° C and that when y is mixed with z is 26 ° C . The temperature of mixture when x and z are mixed will be :

Options

  1. A25 . 62 ° C
  2. B20 . 28 ° C
  3. C28 . 32 ° C
  4. D23 . 84 ° C

Correct answer

D. 23 . 84 ° C

Step-by-step solution

When A & B are mixed m 1   S 1 ( 16 - 10 ) = m 2   S 2 ( 20 - 16 ) 6   m 1   S 1 = 4   m 2   S 2         . . . . . . . ( 1 ) When B & C are mixed m 2   S 2 ( 26 - 20 ) = m 3   S 3 ( 30 - 26 ) 6   m 2   S 2 = 4   m 3   S 3   . . . . . . . . . . . ( 2 ) From equation ( 1 ) and ( 2 ) 9   m 1   S 1 = 4   m 3   S 3 When A & C are mixed m 1   S 1 (   T - 10 ) = m 3   S 3 ( 30 - T ) T = 30 m

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