Assume the solution's final volume is 200.0 mL, the density is 1.00 g/mL, and the heat capacity is 4.184 J/gC.
Note: Pay attention to significant figures. Do not round until the final answer.)
The molar heat of reaction,delta H rxn , for the reaction of
Ca(s) + 2H+(aq)-> Ca2+(aq) + H2(g)
To calculate the molar heat of reaction (ΔHrxn) for the given reaction, we need to use the equation:
ΔHrxn = q / n
where q represents the total heat transferred in joules (J) and n is the number of moles of the substance being studied. To find q, we can use the equation:
q = m * C * ΔT
where m is the mass of the substance in grams, C is the specific heat capacity in J/g°C, and ΔT is the change in temperature in °C.
In this case, the reaction is:
Ca(s) + 2H+(aq) -> Ca2+(aq) + H2(g)
To calculate ΔHrxn, we need to determine the total heat transferred (q). Since the reaction produces hydrogen gas (H2), we will assume that the heat transfer is due to the production of H2 gas.
Given:
Final volume (V) = 200.0 mL = 200.0 g (since the density is 1.00 g/mL)
Density (d) = 1.00 g/mL
Heat capacity (C) = 4.184 J/g°C
First, we need to calculate the mass of H2 produced in the reaction. The molar ratio between Ca and H2 is 1:1. This means that for every mole of Ca that reacts, one mole of H2 is produced.
To calculate the moles of Ca, we need to convert the given mass of Ca to moles using its molar mass. The molar mass of Ca is 40.08 g/mol.
Mass of Ca = 40.08 g/mol
Moles of Ca = (mass of Ca) / (molar mass of Ca)
Next, we need to calculate the moles of H2 produced, which will be equal to the moles of Ca.
Moles of H2 = Moles of Ca
Assuming the reaction goes to completion, there will be no H+ ions remaining in the final solution. Therefore, we can assume that the entire moles of H+ reacted with Ca to produce H2.
Now, let's calculate the total heat transferred (q) using the equation:
q = m * C * ΔT
In this case, the change in temperature (ΔT) is not provided. We need additional information to calculate ΔT.
Please provide the change in temperature (ΔT) so that we can calculate the molar heat of reaction (ΔHrxn) for the given reaction.