Battery acid is generally 3.00 M H2SO4. What is the volume of the solution in the battery, if it is known to contain 4.78 moles of solute?

The molarity of a solution is the ratio of the number of moles of solute to the volume of solution. In other words, 

molarity = moles/volume

The units of molarity are moles per liter or M (molar). Sometimes, millimoles or mM are also used as a unit for molarity.

In the given case, the molarity of the sulfuric acid solution is 3.00 M. The number of moles of solute are 4.78. 

Using the relationship for molarity (as described above),

3 = 4.78/volume

or, volume = 4.78/3 = 1.59 liters.

Thus, the volume of solution is 1.59 liters. 

In other words, if we mix 4.78 moles of sulfuric acid in 1.59 liters of solvent, we will end up with a 3 molar (or 3 M) solution of the sulfuric acid. We can verify our answer.

Molarity of solution = moles/volume = 4.78/1.59 = 3 moles/l (approximately).