what is the final temperature of the aluminum?

Question

A sample of solid aluminum is heated with an electrical coil. If 164 Joules of energy are added to a 11.6 gram sample initially at 21.1°C, what is the final temperature of the aluminum?

Answer: ________°C.

Answer 1

Specific heat of aluminum is 0.9 J/(g* K)

We can use q=m*c* ΔT or q=m*c*(T_f - T_i)

21.1 ^oC=294.1 K

Plugging everything in, 164 J = 11.6g (0.9 J/g*K) (T_f -294.1 K)

Distribute the right side of the equation and solve for T_f . Convert back to ^oC by subtracting 273 from K.