InterviewSolution
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InterviewSolution
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The temperature of equal masses of three different liquied A ,B and C are `12^(@),18^(@),19^(@) and 28^(@)`respectively. The temperature when A and B are mixed is`16^(@)` and when Band C are mixed it is `23^(@)` what will be the temperaturewhen A and c are mixed? |
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Answer» Correct Answer - B::C Given , The temperature of `A = 12^(@)C` The temperature of `B = 19^(@)C` The temperature of `C= 28^(@)C` `rArr` The temperature of `A + B= 16^(@)C` `rArr`The temperature of `B + C = 23^(@)C` In accordance with the principal of calorimetry, when A and B are mixed `M_(CA) (16- 23) = M_(CB)(19 - 16)` `rArr 4M_(CA)=3M_(CB)` `rArr M_(CA)=((3)/(4))M_(CB)` and when B and C are mixed `M_(CB) (23 - 19) = M_(OC) (28 - 23)` `rArr 4M_(CB)=5M_(OC)` `rArr M_(OC)=((4)/(5))M_(CB)` When A and C mixed, If T is the common tempetature of the mixture `M_(CA) (T - 12) = M_(OC) (28 - T)` `rArr ((3)/(4))M_(CB)= (T - 12) = ((4)/(5))M_(CB)(28 - T)` `rArr ((3)/(4))(T - 12) = ((4)/(5))(28 - T)` `rArr (3 xx 5) (T - 12) = (4 xx 4) (28 - T)` `rArr 15T =T - 180= 448 - 16T` `rArr 31T = 628` `rArr T = (628)/(31) = 20.253^(@)C` `= 20.3^(@)C` |
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