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In: Physics

Mercury (Hg) is a metal that melts at –39 oC, and thus is a liquid for...

Mercury (Hg) is a metal that melts at –39 oC, and thus is a liquid for temperatures where water is liquid.

The latent heat of melting of mercury and specific heat of liquid mercury are: 1.84 kg of solid mercury at its melting point of –39 oC is placed in thermal contact with 1.17 kg of water, initially at 20 oC, such that they are thermally isolated from everything else.

What is the final temperature of the system? Give your answer in oC to at least three digits.

Expert Solution

By the principle of calorimetry, the total heat gained by mercury is equal to the total heat released by water.

Let the final temperature of the system be T

Heat absorbed by mercury will be utilized to change its state by latent heat for melting and to raise its final temperature to T

m is the mass, L is the latent heat and s is the specific heat

Amount of heat released by water is

Latent heat of melting of mercury is

Specific heat of mercury is

And that of water is

So, we must have

This is the final temperature of the system.

genius_generous answered 7 months ago

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