Question

1.A metal object at 38.0 ^oC is heated by gaining 11.5 kJ of heat
from the environment.
The heat capacity, C, of the metal object is 1.55 kJ/ ^oC.
(Note: NOT the specific heat, which has units of J/ g ^oC)
  
What is the final T?

2.A metal cube loses 3.358 kJ of heat. (i.e., q = -3.358 kJ)
The metal has mass of 135.6 grams. The initial temperature of the metal before the heat loss is is 158.0 ^oC, the final temperature (after heat loss) is 35.0 ^oC. What is the specific heat, c, of the metal in units of J/g ^oC?

3.A metal object at 54.0 ^oC is heated by gaining 30.2 kJ of heat
from the environment.
The heat capacity, C, of the metal object is 6.30 kJ/ ^oC.
(Note: NOT the specific heat, which has units of J/ g ^oC)
  
What is the final T?

4.An object at 50.0 ^oC is heated to 87.0 ^oC by gaining 7.75 kJ of heat
from the environment.
What is the heat capacity of the entire object in units of kJ/ ^oC?  
(NOT the specific heat, which has units of J/ g ^oC)

Answer 1

Lo Initial tent. ( T ) = 38.0°c a = 115 KJ = 11500T Tmetal= 1.55 KIloc = 155oT T2=P a = Thetal & OT 115005= 1550 Jl'ext T2-38°c) (T2-38) = 11550/1550 = 7.42 Tao 30+.42 45.490 &= – 3.350 KJ = -3358T mass = 135.5g TIF 158.0°C T2= 35.0c metal = ? a = In x Chetal & OT -3356 = 13516 9. xtmetal x (35-158) thetal = + 3359 -0.201331 + 135.6 x 123 goe Ti = 54.0°C 2 = 30 2 KJ = 30200 J metal = 6.30 Kiloc = 5300 J 100 To=? a= [metal XOT 302 do = 5300 Jlx (T3 -54,00) (T-54) = 302 = 4.794 63 T2= 54+ 4.7gy = 56.7 Ans 58.7°C = 58.7900

TIF 50.0°C Ta = 87.00 9 = 7.75 KJ 29500J Cobject = ? a = Tobject & OT 77500 J- Cobject X (07.0-50.0) Cobject = 77580 - 20g4.59Tloc 37 Cobjet 2.094 KJl oc.