consider the reaction N2O5 + h2o -> 2HNO3 how many moles of N2O5 must be dissolved into one more of H2O to obtain an aqueous solution of HNO3 in which the mole fraction of HNO3 is 0.5

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N2O5 + H2O ==> 2HNO3
If you want XHNO3 = 0.5 and mols H2O to be 1.0, then mols HNO3 must be 1.0.
XHNO2 = 1.0 mol HNO3/2 mol total = 0.5

To obtain 1 mol HNO3 will require only 1/2 mol N2O5.
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