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What will be the final temperature if a 4.00 g silver ring at 41.0◦C if it gives off 18.0 J of heat to the surroundings? The specific heat capacity of silver is 0.235 J/(g C) Express your answer in ◦C.

Answer :

Answer:

Final temperature, [tex]T_f=21.85^{\circ}[/tex]

Explanation:

Given that,

Mass of silver ring, m = 4 g

Initial temperature, [tex]T_i=41^{\circ}C[/tex]

Heat released, Q = -18 J (as heat is released)

Specific heat capacity of silver, [tex]c=0.235\ J/g\ C[/tex]

To find,

Final temperature

Solution,

The expression for the specific heat is given by :

[tex]Q=mc\Delta T[/tex]

[tex]Q=mc(T_f-T_i)[/tex]

[tex]T_f=\dfrac{-Q}{mc}+T_i[/tex]

[tex]T_f=\dfrac{-18}{4\times 0.235}+41[/tex]

[tex]T_f=21.85^{\circ}[/tex]

So, the final temperature of silver is 21.85 degrees Celsius.

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