. If 55.5 g of aluminum is heated to 95.0 °C and placed into 500.0 g of water at 30.0°C , What
is the final temperature of the system? Cp of aluminum is.900J/gºC


Answer :

The final temperature of the system : 31.5 °C

Further explanation

Given

55.5 g Al, 95 C

500 g water, 30 C

C Al = 0.900 J/gºC

Required

the final temperature

Solution

Q in = Q out

Q absorbed = Q released

Q water = Q Aluminium

[tex]\tt 500\times 4.186\times (t-30)=55.5\times 0.9\times (95-t)\\\\2093t-62790=4702.5-49.5t\\\\2142.5t=67492.5\rightarrow t=31.5^oC[/tex]