2 g ice is dropped in 10 g water at 6 0 ∘ C present in a container having water equivalent 20 g . Find final temperature of the mixture (neglect any energy loss from ice water system to the environmen

Question

2 g ice is dropped in 10 g water at 6 0 ∘ C present in a container having water equivalent 20 g . Find final temperature of the mixture (neglect any energy loss from ice water system to the environment).

TestHub · Accepted Answer

The container and the water together are equivalent to $30 g$ of water. Heat gained by the ice = heat lost by the warm water:
$2 \times 80 + 2 \times 1 \times θ = 30 \times 1 \times (60 - θ)$
$160 + 2 θ = 1800 - 30 θ$
$32 θ = 1640$
$θ = 51.2 5^{\circ} C$

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