Specific heat capacity is 139 J/kgC and molar heat capacity is 221 J/C/mol.
To calculate the specific heat capacity we will be using the equation
Q = mC∆T
Where Q = energy added or lost
m = the mass of the substancec = the specific heat of the substance
∆T is the difference in temperature usually written as T2-T1
Given Q=585Jm = 125.6 grams or 0.1256 kg
Where should find c =?
T2 =53.5°CT1 = 20 °C585 = 0.1256x C x(53.5–20)585 =4.2076xC585/4.2076
=139J/kg°C = C
Now,
Using the equation c_m = C/n
Where c_m = molar heat capacity
C = specific heat capacity
n = number of moles in kgc_m = 139/0.628
= 221 J/°C/mol
Therefore, specific heat capacity is 139 J/kgC and molar heat capacity is 221 J/C/mol.
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