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...

You are on the right track! Calculating the number of moles is an important step in determining the heat released by a substance.

To calculate the heat released by 1 mole of MgO, you can use the concept of molar heat. Molar heat is defined as the amount of heat energy released (or absorbed) by one mole of a substance.

First, let's review the given information:

Mass of MgO = 0.5 g
Heat gained by acid = 1337.6 kJ

To calculate the number of moles of MgO, you correctly divided the mass of MgO by its molar mass:

Molar mass of MgO = 24.31 g/mol (Molar mass of Mg) + 16.00 g/mol (Molar mass of O) = 40.31 g/mol

Number of moles of MgO = Mass of MgO / Molar mass of MgO
= 0.5 g / 40.31 g/mol
= 0.0124 mol (rounded to four decimal places)

Now that you have the moles of MgO (0.0124 mol), you can proceed to calculate the heat released by 1 mole of MgO.

To do this, you need to set up a proportion using the heat gained by acid and the moles of MgO:

Heat gained by acid / Moles of MgO = Heat released by 1 mole of MgO / 1 mole

Plugging in the given values, where "x" represents the heat released by 1 mole of MgO:

1337.6 kJ / 0.0124 mol = x / 1 mol

Now, you can solve for "x":

x = (1337.6 kJ / 0.0124 mol) * 1 mol
x ≈ 107912.9 kJ/mol (rounded to five decimal places)

Therefore, the heat released by 1 mole of MgO is approximately 107912.9 kJ/mol.

Remember to check your unit conversions throughout the calculations to ensure accuracy.