Answer:
The expression to calculate the number of moles reactants is:
n = 59.714 J / 368000 J/mole
Explanation:
Note: The question is missing some parts. The complete question is as follows:
A certain chemical reaction releases 368.kJ of heat energy per mole of reactant consumed. Suppose some moles of the reactant are put into a calorimeter (a device for measuring heat flow). It takes 4.09J of heat energy to raise the temperature of this calorimeter by 1°C. Now the reaction is run until all the reactant is gone, and the temperature of the calorimeter is found to rise by 14.6°C. How would you calculate the number of moles of reactant that were consumed?
Set the math up. But don't do any of it. Just leave your answer as a math expression.
Also, be sure your answer includes all the correct unit symbols.
Step 1: Determine the quantity of heat required to raise the temperature of the calorimeter by 14.6°C
Quantity of heat required to raise the temperature of the calorimeter by 1°C = 4.09 J
Quantity of heat required to raise the temperature of the calorimeter by 14.6°C = 4.09 * 14.6 = 59.714 J
Step 2: Express the quantity of heat released per mole of reactant in J/mole
368 kJ/mole = 368 kJ/mole * 1000 J/kJ = 368000 J/mole
Step 3: Express the moles of reactant as n and equate it to the energy absorbed by the calorimeter
Let the number of moles of reactant be n
Assuming that there is no heat lost to the surrounding, from the law of conservation of energy, Heat released = Heat absorbed
Heat released = number of moles of reactant * quantity of heat released per mole of reactant
Heat released = n * 368000 J/mole
Heat absorbed by calorimeter = 59.714 J
From the relation above, n * 368000 J/mole = 59.714 J
n = 59.714 J / 368000 J/mole
Therefore, the expression to calculate the number of moles is n = 59.714 J / 368000 J/mole
