A piece of glass has a temperature of 83˚C. Liquid that has a temperature of 43˚C is poured over the glass, completely covering it, and the temperature at equilibrium is 53˚C. The mass of liquid and glass is the same. If the specific heat of glass is 840 J/(kg˚C), determine the specific heat of the liquid.

The specific heat of the liquid is

Explanation:

As we know that,  

        .................(1)

where,

q = heat absorbed or released

= mass of glass = x kg

= mass of liquid = x kg

= final temperature =

= temperature of glass =

= temperature of liquid =

= specific heat of glass =

= specific heat of liquid= ?

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

Therefore, the specific heat of the liquid is

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