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1 kg water at 90ºC and 1.5 kg water at 45ºC is kept in two identical containers A and B respectively of water equivalent 0.5 kg. If water of container A is poured into container B, the final temperature of mixture is T1, and if water of container B is poured into container A the final temperature is T2 (heat loss is negligible). Then correct option(s) will be –

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a

T1=600C

b

T2=600C

c

T2−T1=7.50C

d

T1=T2

answer is A.

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Detailed Solution

1C90−T1=(1.5+0.5)CT1−45⇒T1=60∘C In the first processHeat lost by hot water = Heat gained by cold water and container B1.5CT2−45=(1+0.5)C90−T2⇒T2=67.5∘CIn the second processHeat lost by hot water and container A= Heat gained by cold waterFrom 1st and 2nd processT2 -T1 =67.5-60 = 7.50 C

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1 kg water at 90ºC and 1.5 kg water at 45ºC is kept in two identical containers A and B respectively of water equivalent 0.5 kg. If water of container A is poured into container B, the final temperature of mixture is T1, and if water of container B is poured into container A the final temperature is T2 (heat loss is negligible). Then correct option(s) will be –