Answer: 4.59 x 10^-3 J/(g x degrees Celsius) = Cs
Step-by-step explanation:
Use the equation q = m x Cs x delta T to find the specific heat capacity of the substance.
q = heat in joules
m = mass of substance in grams
Cs = specific heat capacity in J/(g x degrees Celsius)
delta T = change in temperature in degrees Celsius
Step 1: Identify all quantities given in the problem.
q = 2.41 x 10 J
Note: Not sure if this number was supposed to have an exponent or not. I used what was posted by the person asking the question.
m = 105.0 g
Cs = variable we are trying to find
delta T = Temp. final – Temp. initial = 75.0 degrees Celsius – 25.0 degrees Celsius = 50.0 degrees Celsius
Step 2: Place all known quantities into the equation.
q = m x Cs x delta T
2.41 x 10 J = 105.0 g x Cs x 50.0 degrees Celsius
Step 3: Isolate the unknown variable, in this case Cs.
2.41 x 10 J = (105.0 g x Cs x 50.0 degrees Celsius) / (105.0 g x 50.0 degrees Celsius)
When you divide to isolate Cs, the units of grams and degrees Celsius cancel on the right side of the equation.
2.41 x 10 J / (105.0 g x 50.0 degrees Celsius) = Cs
4.59 x 10^-3 J/(g x degrees Celsius) = Cs