Answer : The correct option is, (C) 0.675 M
Explanation :
Using neutralization law,
[tex]M_1V_1=M_2V_2[/tex]
where,
[tex]M_1[/tex] = concentration of [tex]HNO_3[/tex] = 13.5 M
[tex]M_2[/tex] = concentration of diluted solution = ?
[tex]V_1[/tex] = volume of [tex]HNO_3[/tex] = 25.0 ml = 0.0250 L
conversion used : (1 L = 1000 mL)
[tex]V_2[/tex] = volume of diluted solution = 0.500 L
Now put all the given values in the above law, we get the concentration of the diluted solution.
[tex]13.5M\times 0.0250L=M_2\times 0.500L[/tex]
[tex]M_2=0.675M[/tex]
Therefore, the concentration of the diluted solution is 0.675 M