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Question: Which of the following would raise the temperature of 20 gm water at 30<sup>0</sup>C most. (Specific...

Which of the following would raise the temperature of 20 gm water at 300C most. (Specific heat of water = 1 cal/gm0C) –

A

30 gm water at 400C

B

10 gm water at 500C

C

20 gm water at 700C

D

5 gm water at 800C

Answer

20 gm water at 700C

Explanation

Solution

Let "m" gm at T0C is added so that final temperature of mixture become T¢0C.

20 × 1 × (T¢ – 30) = m × 1 × (T – T¢)

Ž 20T¢ – 600 = mT – mT¢

T¢ =600+mT20+m\frac{600 + mT}{20 + m}

For "C" it comes out to be maximum.