Answer: A) 0.20 L
Explanation:
Molarity of a solution is defined as the number of moles of solute dissolved per Liter of the solution.
According to the neutralization law,
[tex]M_1V_1=M_2V_2[/tex]
where,
[tex]M_1[/tex] = molarity of stock [tex]H_2SO_4[/tex] solution = 10.0 M
[tex]V_1[/tex] = volume of stock [tex]H_2SO_4[/tex] solution = ?
[tex]M_2[/tex] = molarity of dilute [tex]H_2SO_4[/tex] solution = 0.50 M
[tex]V_2[/tex] = volume of dilute [tex]H_2SO_4[/tex] solution = 4.0 L
[tex]10.0\times V_1=0.50\times 4.0[/tex]
[tex]V_1=0.20L[/tex]
Therefore, the volume of 10.0 M [tex]H_2SO_4[/tex] solution needed to prepare 4.0 L of 0.50 M [tex]H_2SO_4[/tex] is 0.20 L
