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Q.

Two taps A and B supply water at temperatures 10o and 50oC respectively. Tap A alone fills the tank in 1 hour and tap B alone fills the tank in 3 hours. If we open both the taps together in the empty tank, if the final temperature of the water in the completely filled tank is found to be 5a (in oC). Find the value of a. Neglect loss of heat to surrounding and heat capacity of the tank.α

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answer is 4.

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Detailed Solution

m(T−10)s=m3S(50−T)⇒T=20∘
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Two taps A and B supply water at temperatures 10o and 50oC respectively. Tap A alone fills the tank in 1 hour and tap B alone fills the tank in 3 hours. If we open both the taps together in the empty tank, if the final temperature of the water in the completely filled tank is found to be 5a (in oC). Find the value of a. Neglect loss of heat to surrounding and heat capacity of the tank.α