ANSWER
The volume is 2666.38L
Step-by-step explanation
Given information
The concentration (Molarity ) of H2SO4 is 2.50 M
The mass of NaOH is 75.0g
To find the milliliters of 2.50M of H2SO4, follow the steps below
Step 1: Write a balanced equation for the reaction
![\text{ H}_2SO_(4(aq))+\text{ 2NaOH}_((aq))\rightarrow\text{ Na}_2SO_4\text{ + 2H}_2O_((l))](https://img.qammunity.org/2023/formulas/chemistry/high-school/syle6tuvm6eeoy47j2l238khqlsgownzrx.png)
From the above-balanced reaction, you will see that 1 mole of the acid reacts with 2 moles of the base to give 1 mole of the salt and 1 mole of water
Step 2: Find the mole of sodium hydroxide using the below formula
![Mole\text{ = }\frac{\text{ mass}}{\text{ molar mass}}](https://img.qammunity.org/2023/formulas/chemistry/high-school/q5zw7ks9i43qopzil3n7mgipnp9iiimea1.png)
Recall that, the molar mass of NaOH is 39.997 g/mol
![\begin{gathered} Mole\text{ = }\frac{75}{39.997\text{ }} \\ \text{ Mole = 1.875moles} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/high-school/qaj717fjdkdpqdpyowib9mgg9qiopqof9g.png)
From the calculations, you will see that the mole of NaOH is 1.875 moles
Step 3: Calculate the mole of sulfuric acid using a stoichiometry ratiO
![\text{ H}_2SO_4\text{ + 2NaOH }\rightarrow\text{ Na}_2SO4\text{ + 2H}_2O](https://img.qammunity.org/2023/formulas/chemistry/high-school/52vbr1rxatyu4q7ohxzc9bujjfjk9k4zw2.png)
1 mole of H2SO4 is equivalent to 2 moles of NaOH
Let x represent the number of moles of H2SO4
Mathematically,
![\begin{gathered} 1\text{ mole of H}_2SO_4\text{ }\rightarrow\text{ 2 moles of Hno3} \\ \text{x moles}\rightarrow\text{ 1.875 moles} \\ Cross\text{ muliply} \\ \text{ 1 }*\text{ 1.875 2}*\text{ x} \\ 1875\text{= 2x} \\ Divide\text{ both sides by 2} \\ (1.875)/(2)\text{ = }(2x)/(2) \\ x\text{ = 0.9376 mol} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/high-school/lwj2uvnqxmt8ywjoiui0hkqqm2abumdiw2.png)
Hence, the mole of H2SO4 is 0.9376 moles
Step 4: Find the volume of the solution using the below formula
![\text{n = c }*\text{ v}](https://img.qammunity.org/2023/formulas/chemistry/high-school/8ff5x6yoxwm8ee4w0ez6ehlk4cq9vd5qs0.png)
Where,
n = is the number of moles
C = concentration in molarity
V = Volume of the solution in Liters
![\begin{gathered} 0.9376\text{ = }(2.50)/(V) \\ cross\text{ multiply} \\ 0.9376* V\text{ = 2.50} \\ Divide\text{ both sides by 0.9376} \\ V\text{ = }(2.50)/(0.9375)\text{ = 2.666 L} \\ \\ Convert\text{ ml to l} \\ 2.666*\text{ 1000 = 2666.38 mL} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/high-school/q2rsgge7o9hik9v9e73o63w6wwf16wltbl.png)