Significant Figures: Answer to 6.45 mol H2 Conversion

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SUMMARY

The conversion of 6.45 mol H2 to HBr results in 12.9 mol HBr, which should be expressed with three significant figures. The initial value of 6.45 mol H2 is accurate to three significant figures, while the conversion factor of 2 mol HBr per 2 mol H2 is considered exact. Therefore, the final answer should reflect the precision of the least precise measurement, which is three significant figures.

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linuxux
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When i have a conversion fact such as,

6.45 mol H_{2\left(g\right)}\times\frac{2 mol HBr_{\left(g\right)}}{2 mol H_{2\left(g\right)} }= 12.9 mol HBr_{g}

how many significant figure should the answer have?, I am thinking one.
 
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You've not written one sig fig though, you've written your answer with three. I would suggest to use 3 sig figs since the number of moles of hydrogen are accurate to 3 sig figs, and I presume that 2 is exactly two (i.e. 2.000), so giving 3 sig figs in the answer (like you've done; 12.9) will be as accurate as possible.
 
thanks cristo.
 

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