Question
b) A student heats up a 5000 mathrm(~g) block of cion from 18^circ mathrm(C) to 46^circ mathrm(C) , transforming 62,8 mathrm(~kJ) of energy. Calculate the specific laeat capacity of cion
Answer
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(320 Votes)
Neil
Master · Tutor for 5 years
Answer
First, calculate the temperature change:
Next, substitute the given values into the specific heat capacity formula:
Perform the calculation to find the specific heat capacity of iron.
Explanation
## Step 1: Understand the ProblemThe problem is asking us to find the specific heat capacity of iron. The specific heat capacity is the amount of heat energy required to change the temperature of a unit mass of the substance by one degree. It is generally presented in joules(g.Celcius^-1) where 'g' is grams and 'Celcius^-1' is per degree Celsius. ## Step 2: Identify the Given ValuesFrom the problem, we are given the following values:- The mass of the iron block,
g- The initial temperature,
- The final temperature,
- The energy transferred,
K## Step 3: Calculate the Temperature ChangeThe temperature change,
, is calculated by subtracting the initial temperature from the final temperature. ###
## Step 4: Use the Specific Heat Capacity FormulaThe formula for calculating specific heat capacity (cp) is:###
We can substitute the given values into this formula to find the specific heat capacity.