Answer : The final temperature of the copper is, [tex]87.29^oC[/tex]
Solution :
Formula used :
[tex]Q=m\times c\times \Delta T=m\times c\times (T_{final}-T_{initial})[/tex]
where,
Q = heat gained = 299 cal
m = mass of copper = 52 g
c = specific heat of copper = [tex]0.0923cal/g^oC[/tex]
[tex]\Delta T=\text{Change in temperature}[/tex]
[tex]T_{final}[/tex] = final temperature = ?
[tex]T_{initial}[/tex] = initial temperature = [tex]25^oC[/tex]
Now put all the given values in the above formula, we get the final temperature of copper.
[tex]299cal=52g\times 0.0923cal/g^oC\times (T_{final}-25^oC)[/tex]
[tex]T_{final}=87.29^oC[/tex]
Therefore, the final temperature of the copper is, [tex]87.29^oC[/tex]
