Question
Question: A vessel contains 110 g of water. The heat capacity of the vessel is equal to 10 g of water. The ini...
A vessel contains 110 g of water. The heat capacity of the vessel is equal to 10 g of water. The initial temperature of water in vessel is 10°C. If 220 g of hot water at 70°C is poured in the vessel, the final temperature neglecting radiation loss, will be
A
70°C
B
80°C
C
60°C
D
50°C
Answer
50°C
Explanation
Solution
Let final temperature of water be θ
Heat taken = Heat given
110 ×1 (θ – 10) + 10 (θ – 10) = 220 × 1 (70 – θ)
⇒ θ = 48.8°C ≈ 50°C.