a) in this we are diluting a stock solution, so we can use the dilution formula
c1v1 = c2v2
where c1 is concentration and v1 is volume of the stock solution
c2 is concentration and v2 is volume of the diluted solution to be prepared
substituting the values
6.0 M x V = 0.500 M x 110 mL
V = 9.17 mL
9.17 mL of the stock solution should be taken and diluted upto 110 mL to prepare the 0.500 M solution
b)
In this question we are given the volume taken from the stock solution , we have to find the concentration of the diluted solution
again we use the dilution formula, c1v1 = c2v2
substituting the values
6.0 M x 10.0 mL = C x 250 mL
C = 0.24 M
the concentration of diluted solution is 0.24 M