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**Problem**: Which solution has the same number of moles of NaOH as 50.0 mL of 0.100 M solution of NaOH?A) 20.0 mL of 0.200 M solution of NaOHB) 25.0 mL of 0.175 M solution of NaOHC) 30.0 mL of 0.145M solution of NaOHD) 50.0 mL of 0.125 M solution of NaOHE) 100.0 mL of 0.0500 M solution of NaOH

###### FREE Expert Solution

###### FREE Expert Solution

We are asked to which solution has the same number of moles of NaOH as 50.0 mL of 0.100 M solution of NaOH

Recall dilution equation:

$\overline{){\mathbf{mol}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}{\mathbf{MV}}}$

Calculate mol for 50.0 mL of 0.100 M solution of NaOH

$\mathbf{mol}\mathbf{}\mathbf{NaOH}\mathbf{=}\mathbf{}\mathbf{MV}\phantom{\rule{0ex}{0ex}}\mathbf{mol}\mathbf{}\mathbf{NaOH}\mathbf{=}(0.10\frac{\mathrm{mol}}{\overline{)L}})(50\overline{)\mathrm{mL}})\mathbf{\times}\frac{{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{}\overline{)\mathbf{L}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mL}}\mathbf{}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{5}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{mol}$

Calculate mole for each option:

###### Problem Details

Which solution has the same number of moles of NaOH as 50.0 mL of 0.100 M solution of NaOH?

A) 20.0 mL of 0.200 M solution of NaOH

B) 25.0 mL of 0.175 M solution of NaOH

C) 30.0 mL of 0.145M solution of NaOH

D) 50.0 mL of 0.125 M solution of NaOH

E) 100.0 mL of 0.0500 M solution of NaOH

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Based on our data, we think this problem is relevant for Professor Zheng's class at ASU.