Physics
posted by AL .
A2.0kg piece of steel with a temperature of 70 degree C is submerged in 1.0 kg of water at 15 degree C. At what temperature does the water/metal system reach equilibrium? The specific heat of steel is 0.107 cal/(g*K). Specific Heat of water is 4185 J/(kg*K.( The answer is 27 C)
HOW? I keep getting 70 degree C when I do m*C*delta T (of steel) = m* C* delta T (of water)

m1=2 kg,
c1= 0.107 cal/(g*K)= 448 J/kg•K,
T1=273+70=343.15 K,
m2=1kg,
c2=4185 J/kg•K,
T2=273+15=288.15 K
Q1 =m1•c1(T1Tₒ) = m1•c1•T1 m1•c1•Tₒ
Q2 = m2•c2• ( TₒT2) = m2•c2•Tₒ m2•c2•T2
Q1=Q2
m1•c1•T1 m1•c1•Tₒ= m2•c2•Tₒ m2•c2•T2
m1•c1•T1+ m2•c2•T2= m1•c1•Tₒ+ m2•c2•Tₒ=Tₒ( m1•c1+ m2•c2)
Tₒ = (m1•c1•T1+ m2•c2•T2)/ ( m1•c1+ m2•c2)=
=(2•448•343.15 +1•4185•288.15)/( 2•448+1•4185)=
=(307462.4+1205907.75)/(896+4185)=
=297.8 K ≈ 25 ºC
Respond to this Question
Similar Questions

chemistry
100 mL of is initially at room temperature (22)C. A chilled steel rod at 2 C is placed in the water. If the final temperature of the system is 21.2 C, what is the mass of the steel bar? 
chemistry
95.0 mL of H_2O is initially at room temperature (22 degree C). A chilled steel rod at 2 degree C is placed in the water. If the final temperature of the system is 21.3 degree C, what is the mass of the steel bar? 
Chemistry
80.0 mL of water is initially at room temperature (22degrees C). A chilled steel rod at 2 degrees C is placed in the water. If the final temperature of the system is 21.2 degrees C, what is the mass of the steel bar? 
college
105 of is initially at room temperature (22). A chilled steel rod at 2 is placed in the water. If the final temperature of the system is 21.3, what is the mass of the steel bar? 
CHEMISTRY
90.0 of is initially at room temperature (22.0). A chilled steel rod at 2.0 is placed in the water. If the final temperature of the system is 21.3, what is the mass of the steel bar? 
physics
A piece of metal of mass 112g is heated 100 degree C.,and dropped into a copper calorimeter of mass 40g containing 200g of water at 16 derreC. Neglecting the heat loss, the specific het of the meatal is nearly,if the equilibrium temperature … 
Physics
A 2.0kg piece of steel with a temperature of 70°C is submerged in 1.0 kg of water at 15°C. At what temperature does the water/metal system reach equilibrium? 
physics
a 200g aluminum container has 500g of water with an initial temperature of 22 degree celsius. The following heated pieces of metal are dropped into water at the same time as follows: 300g piece of aluminum heated at 100 degree celsius; … 
Physical Science
You submerge 100 grams of steel in 200 grams of water. If the steel has an initial temperature of 80°C and the water has an initial temperature of 10°C, what is the final temperature of the system? 
Chemistry
A piece of metal weighing 5.10g at a temperature of 48.6 degree Celsius was placed in a calorimeter in 20.00 mL of water at 22.1 degree Celsius. The final equilibrium temperature was found to be 29.2 degree celsius. What is the specific …