The following data were obtained during the first order decomposition of
`2A_((g)) to B_((g)) + C_((s))` at a constant volume and at a particular temperature.

Options

A. 0.0693
B. 69.3
C. 6.93
D. `6.93xx10^(-4)`

Answer

A

Explanation

`underset(2-2x)underset(2(1-x))(2A_(g))toB_(g)+C_(g)`
At the end of reaction ,only 1 mole of gas is present whose pressure is 200 pascal
`therefore` At the beginning of the reaction ,2 moles of gas should have a pressure of 400 pascal At the end of 10 minutes,no. of moles present But the pressure of 2 moles of A `therefore K(2.303)/(t)log[(a)/(a-x)]=(2.303)/(10)log [(400)/(200)]`
`=(2.303)/(10)log2=(0.693)/(10)=0.0693 min^(-1)`