A beaker contains 200 gm of water. The heat capacity of the beaker is equal to that of 20 gm of water. The initial temperature of water in the beaker is 2 0 ∘ C . If 440 gm of hot water at 9 2 ∘ C is

Question

A beaker contains 200 gm of water. The heat capacity of the beaker is equal to that of 20 gm of water. The initial temperature of water in the beaker is 2 0 ∘ C . If 440 gm of hot water at 9 2 ∘ C is poured in it. The final temperature, neglecting radiation losses, will be nearest to

TestHub · Accepted Answer

Water equivalent of beaker plus water = 220 gm . Heat gained = heat lost: 220 × 4200 ( T − 20 ) = 440 × 4200 ( 92 − T ) T − 20 = 2 ( 92 − T ) T − 20 = 184 − 2 T 3 T = 204 T = 6 8 ∘ C

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