Answer:
The molar heat capacity is 112.96 J/mol°C
Explanation:
<u>Step 1:</u> Data given
Amount of energy = 1224 J
Mass of ethanol = 39.6 grams
Temperature increases by 12.6 °C
<u>Step 2</u>:
Molar heat capacity is a measure of the amount of heat necessary to raise the temperature of one mole of a pure substance by one degree K.
Specific heat capacity is a measure of the amount of heat necessary to raise the temperature of one gram of a pure substance by one degree K.
<u>Step 3:</u> Calculate moles of ethanol
Moles ethanol = mass of ethanol / molar mass ethanol
Moles ethanol = 39.6g / 46.07 g/mol
Moles ethanol = 0.860 moles
<u>Step 4:</u> Calculate the specific heat capacity
q = m*c*ΔT
1224 = 39.6 * c * 12.6
the specific heat capacity of ethanol = 2.45 J/g°C
<u>Step 5:</u> Calculate the molar heat capacity
q = n * c *ΔT
1224 J = 0.860 moles * c * 12.6 °C
c = 112.96 J/mol°C
This can be controlled by: specific heat capacity * molar mass
2.45 J/ g°C * 46.07 g/mol = 112.9 J/ mol °C
The molar heat capacity is 112.96 J/mol°C