Which of the following equations is the correct one to use to calculate the specific heat of the metal?
AT
Cp.metal
m.Co.AT
metal
A 50.00 g sample of an unknown metal is heated
to 45.00°C. It is then placed in a coffee-cup
calorimeter filled with water. The calorimeter and
the water have a combined mass of 250.0 g and
an overall specific heat of 1.035 cal/g•°C. The
initial temperature of the calorimeter is 10.00°C.
The system reaches a final temperature of
11.08°C when the metal is added.
metal
cal
Ce metal
-m.C.CAT
m metarATmetal
COMPLETE
Any heat lost by the metal is
✓ gained by the calorimeter v
What is the specific heat of the metal?
cal/g.°C
COMPLETE
DONE

What is the specific heat of a substance whose mass is 7 grams, if it absorbs 180 calories to go from 10 degrees Celsius to 85 degrees Celsius

0.343cal/g°C

Explanation:

Given parameters:

Mass of substance  = 7g

Quantity of heat absorbed  = 180calories

Initial temperature  = 10°C

Final temperature  = 85°C

Unknown:

Specific heat of the substance  = ?

Solution:

To solve this problem, the specific heat of a substance is the amount of heat needed to raise the temperature of a unit mass of that substance by 1°C.

 Mathematically;

 C =  

C is the specific heat

Q is the amount of heat

m is the mass

T is the temperature

1 and 2 are the initial and final states

  Now, insert the parameters and solve;

           C  =   = 0.343cal/g°C