To calculate the volume of a solution required to obtain a certain number of moles of solute, we need to use the equation:
n = C x V
where:
n is the number of moles of solute
C is the concentration of the solution in units of moles per liter (M)
V is the volume of the solution in liters
In this case, we have:
n = 3.00 moles
C = 14.0 M (the concentration of the solution)
V = ?
Rearranging the equation, we get:
V = n / C
Substituting the given values, we get:
V = 3.00 moles / 14.0 M
V = 0.214 L
Therefore, the volume of 14.0 M HNO3 required to obtain 3.00 moles of the solute is 0.214 liters (or 214 milliliters).