(10) Adiabatic Processes (10 points) A 200 g iron ball heated to an unknown temp

Question

(10) Adiabatic Processes (10 points) A 200 g iron ball heated to an unknown temperats an insulated bucket of 150 g of water at 25 C. Theand id water and the ball is 55°C. How hot was the iron bail2 iron is 25.01/mole C. The molecular weight of iron is and is dropped into final temperature of the The heat capacity of (in J/ g °C) Part A (2 points) What is the specific heat (Cs) of iror (8 points) what is the initial temperature of the steel ball (oC)? ?q = mass x Cs x dT and Cs of water is 4.18 J/g°C

Explanation / Answer

Part a

Specific heat capacity of iron = 25 J/mol-°C x 1mol/58g

= 0.431 J/gC

Part b

Heat absorbed by water = heat released by ball

Mass of water x Csw x (T2 - T1) = mass of ball x Cs x (T - T2)

150 g x 4.18 J/gC x (55 - 25) C = 200 g x 0.431 J/gC x (T - 55)C

18810 = 86.2 (T - 55)

T - 55 = 218.2

T = 273.2 °C = Initial temperature of ball

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