Question # The decompogition of azo methane, at certain temperature according to the equation

# The decompogition of azo methane, at certain temperature according to the equation

( left(mathrm{CH}_{3}right)_{2} mathrm{N}_{2}(mathrm{g}) longrightarrow mathrm{C}_{2} mathrm{H}_{6}(mathrm{g})+mathrm{N}_{2}(mathrm{g}) ) is a first order

reaction

After 40 minutes from the start, the total pressure developed is found to be ( 350 mathrm{mm} ) Hg in place of initial pressure ( 200 mathrm{mm} ) Hg of azo methane. The value of rate constant ( k ) is ( :(log 2=0.30) )

( A quad 288 times 10^{-4} mathrm{sec}^{-1} )

B ( 1.25 times 10^{-4} mathrm{sec}^{-1} )

C ( 5.77 times 10^{-4} mathrm{sec}^{-1} )

D ( 4.606 times 10^{-4} mathrm{sec}^{-1} )

Solution

[

begin{aligned}

k=2.303 log left[frac{p_{i}}{p_{t}}right]

&=2.303 log left[frac{200}{200-130}right]

x &=5.77 times 10^{-4} mathrm{sec}^{-1}

end{aligned}

]

nence oprion ( (c) ) is correct