5.00 = 4.76 + log [CH3COO-] / [CH3COOH]
[CH3COO-] / [CH3COOH] = 10^0.24 = 1.74
[CH3COO-] + [CH3COOH] = 0.1
[CH3COO-] / [CH3COOH] = 1.74
solving this system we get [CH3COO-] = 0.0635 M and [CH3COOH] = 0.0365 M
Moles CH3COO- = 0.0635 x 0.175 = 0.0111
moles CH3COOH = 0.0365 x 0.175 = 0.00639
Now you forgot to say if the solution is an acid or a base so I can not answre at your question but I thing that this can help you
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