Question

A 58.7-g sample of nickel (s = 0.443 J/(g ∙ °C)), initially at 147.4°C, is placed in an insulated vessel containing 184.0 g of water (s = 4.18 J/(g ∙ °C)), initially at 29.9°C. Once equilibrium is reached, what is the final temperature of the metal–water mixture?

Answer 1

Answer:

Explanation:

Let t be the final temp

temp. drop of nickel=147.4-t

temp. gain by water=t-29.9

in equilibrium

Heat lost=Heat gained

58.7×0.443×(147.4-t)=184×4.18×(t-29.9)

58.7×0.443×147.4-58.7×0.443×t=184×4.18×t-184×4.18×29.9

     3833.00434 -26.0041 t=769.12t-22996.688

(769.12 +26.0041)t= ?

find t