How do I calculate the heat released by 1 mole MgO

Given:
0.5 g of MgO
Heat gained by acid is 1337.6 kJ

I calculated the moles for MgO which I got 0.0125
I'm not sure if I'm on the right track..

Is that an aqueous solution?

1337.6 kJ/0.0125 = ? kJ = heat released by 1 mol MgO
I didn't check the mol calculation for MgO.

Yes, you are on the right track! To calculate the heat released by 1 mole of MgO, you need to use the given information and the number of moles you calculated.

First, let's confirm your calculation of the number of moles of MgO. Given that you have 0.5 g of MgO, you can calculate the number of moles using the molar mass of MgO. The molar mass of MgO is the sum of the molar masses of magnesium (24.31 g/mol) and oxygen (16.00 g/mol), which gives a total molar mass of 40.31 g/mol. To calculate the moles, divide the mass of MgO by its molar mass:

moles = mass / molar mass
moles = 0.5 g / 40.31 g/mol
moles ≈ 0.0124 mol

So, your calculated number of moles is correct, which is approximately 0.0124 mol.

Now, to calculate the heat released by 1 mole of MgO, we can use the given information about the heat gained by the acid, which is 1337.6 kJ. Since we know that the heat gained by the acid is equal to the heat released by 1 mole of MgO, we can set up a proportion:

Heat gained by acid (kJ) = Heat released by 1 mole of MgO (kJ/mol)

1337.6 kJ = Heat released by 1 mole of MgO (kJ/mol)

To find the heat released by 1 mole of MgO, we divide both sides of the equation by the number of moles (0.0124 mol):

Heat released by 1 mole of MgO (kJ/mol) = 1337.6 kJ / 0.0124 mol
Heat released by 1 mole of MgO (kJ/mol) ≈ 107843.55 kJ/mol

Therefore, the heat released by 1 mole of MgO is approximately 107843.55 kJ/mol.

Remember to always double-check your calculations and unit conversions to ensure accuracy.