A 31.5 g wafer of pure gold initially at 69.4 ∘C is submerged into 63.4 g of water at 27.4 ∘C in an insulated container.

What is the final temperature of both substances at thermal equilibrium?

The final temperature of both substances at thermal equilibrium is 301.0 K

Explanation:

As we know that,  

        .................(1)

where,

q = heat absorbed or released

= mass of gold = 31.5 g

= mass of water = 63.4 g

= final temperature = ?

= temperature of gold =

= temperature of water =

= specific heat of gold =

= specific heat of water=

Now put all the given values in equation (1), we get

The final temperature of both substances at thermal equilibrium is 301.0 K

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