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Question
CBSEENCH12011079
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In Duma's method for estimation of nitrogen 0.25 g of an organic compound gave 40 ml of nitrogen collected at 300 K temperature and 725 mm pressure. If the aqueous tension at 300 K is 25 mm the percentage of nitrogen in the compounds is,

  • 17.36

  • 18.20

  • 16.76

  • 15.76

Solution
Multi-choise Question

C.

16.76

straight p subscript straight N subscript 2 space end subscript space equals straight P subscript total space minus straight p subscript straight H subscript 2 straight O end subscript space equals 725 minus 25 space equals 700 space mm
According space to space Duma apostrophe straight s space method space for space estimation space of space straight N comma
weight space of space nitrogen space equals pVM over RT
where comma space straight p space is space pressure space equals space 700 mm
space straight V space of space nitrogen equals 40 space mL
straight M space molecular space mass space of space straight N subscript 2 space equals space 28
straight R minus 0.0821
straight T minus 300 straight K space equals space fraction numerator 700 space straight x 40 space straight x 28 over denominator 760 space straight x space 1000 space straight x 300 space straight x space 0.0821 end fraction space equals space 0.042 space straight g
therefore comma space percent sign space of space nitrogen space space equals space fraction numerator 0.042 over denominator 0.25 end fraction space straight x space 100 space equals space 16.573 percent sign

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