The half time of first order decomposition of nitramide is 2.1 hour at 15^(@)C. NH_(2)NO_(2)(aq)to N_(2)O(g)+H_(2)O(l) If 6.2 g of NH_(2)NO_(2) is allowed to decompose, calculate (i) time taken for NH_(2)NO_(2) to decompose 99% and (ii) volume of dry N_(2)O produced at this point, measured at STP.

The half time of first order decomposition of nitramide is 2.1 hour at

1.	The half time of first order decomposition of nitramide is 2.1 hour at 15^(@)C. NH_(2)NO_(2)(aq)to N_(2)O(g)+H_(2)O(l) If 6.2 g of NH_(2)NO_(2) is allowed to decompose, calculate (i) time taken for NH_(2)NO_(2) to decompose 99% and (ii) volume of dry N_(2)O produced at this point, measured at STP.
Answer» SOLUTION :(i) `k=(0.693)/(t_(1//2))=(0.693)/(2.1" hr")=0.33" hr"^(-1)` `x=99%" of "a=0.99" a"` `t=(2.303)/(k)log""(a)/(a-x)=(2.303)/(0.33" hr"^(-1))log""(a)/(a-0.99a)=(2.303)/(0.33)log10^(2)=13.96" hours"` (ii) Amount decomposed `=99%" of "6.2" G "=(99)/(100)xx6.2" g "=6.138" g"` 1 mol `NH_(2)NO_(2)(62" g")" PRODUCE "N_(2)O" at STP"=22.4" L"` 6.138 g will produce `N_(2)O` at STP `=(22.4)/(62)xx6.138" L"=2.2176" L"`