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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.

Sagot :

Answer: The specific heat of the liquid is [tex]2520J/kg^0C[/tex]

Explanation:

[tex]heat_{absorbed}=heat_{released}[/tex]

As we know that,  

[tex]Q=m\times c\times \Delta T=m\times c\times (T_{final}-T_{initial})[/tex]

        .................(1)

where,

q = heat absorbed or released

= mass of glass = x kg

= mass of liquid = x kg

= final temperature =

[tex]T_1[/tex] = temperature of glass = [tex]83^oC[/tex]

[tex]T_2[/tex] = temperature of liquid = [tex]43^oC[/tex]

[tex]c_1[/tex] = specific heat of glass = [tex]840J/kg^0C[/tex]

[tex]c_2[/tex] = specific heat of liquid= ?

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

[tex]-[(x\times 840\times (53-83)]=x\times c_2\times (53-43)[/tex]

[tex]c_2=2520J/kg^0C[/tex]

Therefore, the specific heat of the liquid is [tex]2520J/kg^0C[/tex]