In the next step of the lab (as shown in the animation to the left) you heat up

Question

In the next step of the lab (as shown in the animation to the left) you heat up the piece of metal. Play the animation, and record the metal's highest temperature, Tmetal. mmetal=45.00 g Tmetal=89 Celsius

Mwater=130.00 g

What is the initial temperature of the water, Twater1, in the coffee cup as shown to the left? Twater1=27 celsius

In the next step of the lab (as shown in the animation to the left) you place the hot piece of metal into the cool water. Play the animation and record the final temperature of the water, Twater2.==30 Celsius

With the information above and the specific heat of water, 4.184 J/(g·°C), you calculate the specific heat, c, of the metal.

Explanation / Answer

Qmetal = mm*Cm*(Tf-Tm)

Qwater = mw*Cw*(Tf-Tw)

substitute

Qmetal = 45*C*(89-30)

Qwater = 130*4.184*(30-27)

Qmetal = -Qwater

-45*C*(89-30)= 130*4.184*(30-27)

solve for C

C = 130*4.184*(30-27) / (-45*(89-30)) = 0.6145 J/gC

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