Question

Heat conversation:

What is the final temperature?

q= 5750J

M= 455g

C=0.79J/g c

T_i=24.0 c

T_f= ?

Delta t= ?

Answer 1

• First we need del t

`\\ \sf\longmapsto Q=mc\Delta T`

`\\ \sf\longmapsto \Delta T=(Q)/(mc)`

`\\ \sf\longmapsto \Delta T=(5750)/(455(0.79))`

`\\ \sf\longmapsto \Delta T=(5750)/(359.45)`

`\\ \sf\longmapsto \Delta T\approx 16°C`

Now

`\\ \sf\longmapsto \Delta T=T_i-T_f`

`\\ \sf\longmapsto T_f=T_i-\Delta T`

`\\ \sf\longmapsto T_f=24-16`

`\\ \sf\longmapsto T_f=4°C`