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Step 1: Calculate the molar mass of vitamin C.
[tex]\begin{aligned} \text{molar mass} & = \text{6(12.01 g) + 8(1.00 g) + 6(16.00 g)} \\ & = \text{176.06 g} \end{aligned}[/tex]
Step 2: Calculate the number of moles of vitamin C by using dimensional analysis.
[tex]\begin{aligned} \text{moles of} \: \text{C}_6\text{H}_8\text{O}_6 & = \text{0.0250 g} \: \text{C}_6\text{H}_8\text{O}_6 \times \frac{\text{1 mol} \: \text{C}_6\text{H}_8\text{O}_6}{\text{176.06 g} \: \text{C}_6\text{H}_8\text{O}_6} \\ & = \boxed{\text{0.000142 mol}} \end{aligned}[/tex]
Hence, there are 0.000142 mol in 0.0250 g of vitamin C.
[tex]\\[/tex]
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