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