You are given 75mL of 1mol/L NaOH and 75 mL of 1mol/L HNO3 at atmospheric

pressure. After mixing the two compounds, he measured a rise in temperature
from 25°C to 32°C. Find the change in energy of the system in kJ/mol.
(Known: Density of aqueous solution is 1.00g/mL and specific heat capacity is
4.18 J/g°C)

q = mass solution x specific heat solution x (Tfinal-Tinitial)

mass solution = 75 + 75 = 150 mL and that is 150 g since density is 1.00 g/mL.

You have the specific heat and Tfinal andTinitial. Calculate q.
Then delta E = q + w
You have q from above. I believe w is zero. It is pdV and there are no gases involved so I don't believe there is a volume change.