The half-time of the following first order decomposition of nitramide is 2.1 h at `15^(@)C`:
`NH_(2)NO_(2)(aq)rarrN_(2)O(g)+H_(2)O(l)`
If 6.2 g of nitramide is allowed to decompose then time taken for it to decompose 99%, will be

Options

A. 2.1 h
B. 12 h
C. 13.96 h
D. 33 h

Answer

C

Explanation

For first order reaction,
`k=(0.693)/(t_(1//2))=(0.693)/(2.1)=0.33 h^(-1)`
`"and " k=(2.303)/(t)"log"_(10)(a)/((a-x))`
`"or "t=(2.303)/(k)xxlog_(10)100`
`=(2.303)/(0.33)xx2=13.96 h `