Home
Class 12
CHEMISTRY
The following data were obtained during ...

The following data were obtained during the first order thermal decomposition of `N_(2)O_(5)` (g) at constant volume :
`2N_(2) O_(5)(g)to 2N_(2)O_(4)(g) +O_(2)(g)`

Calculate the rate constnat.

Text Solution

Verified by Experts

Let the pressure of `N_(2)O_(5)(g)` decrease by 2x atm. As two moles of `N_(2)O_(5)` decompose to give two moles of `N_(2)O_(4)` (g) and one mole of `O_(2)(g),` the pressure of of `N_(2)O_(4)` (g) increases by 2x atm and that of `O_(2)(g)` increases by x atm.
`{:(, 2N_(2)O_(5)(g),to,2N_(2) O_(4)(g)2N_(2) O_(4)(g),+, O_(2)(g)),("Start" t=0, 0.5atm,,0 atm ,,0atm),("At time t" , (0.5-2x)atm,,2xatm,,x atm):}`
`P_(t) =P_(N_(2)O_(5))+P_(N_(2)O_(4))+P_(O_(2))=(0.5 -2x) +2x+x=0.5 x`
`x = -0.5+x`
`x=P_(t)=0.5`
`P_(N_(2)O_(5))=0.5 -2x =0.5 -2 (P_(t)-0.5)=1.5 -2P_(t)`
At `t=100s,P_(t)=0.512atm`
`P_(N_(2)O_(5))=1.5-2xx0.152=0.476atm`
Rate constant `k=(2.303)/(t)log ""(P_(i))/(P_(A))=(2.303)/(100s)log ""(0.5atm )/(0.476 atm )`
`=(2.303)/(100s) xx0.0216`
`4.98xx10^(-4) s^(-1)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROCHEMISTRY & CHEMICAL KINETICS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise PROBLEMS|55 Videos

  • ELECTROCHEMISTRY & CHEMICAL KINETICS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise VERY SHORT ANSWER QUESTIONS|63 Videos

  • D AND F- BLOCK ELEMENTS AND CO-ORDINATION COMPOUNDS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise INTEXT QUESTIONS|33 Videos

  • GENERAL PRINCIPLES OF MMETALLURGY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE SAQ|1 Videos

Similar Questions

Explore conceptually related problems

For the first order reaction 2N_(2)O_(5(g))to4NO_(2(g))+O_(2(g))

The initial concentration of N_(2)O_(5) in the following first order reaction . N_(2)O_(5) to 2NO_(2)(g) + 1//2O_(2)(g) was 1.24 xx 10^(-2) mol L^(-1)

2CO(g) + O_(2)(g) to 2CO_(2)(g) , 2NO(g) + O_(2)(g) to 2NO_(2)(g) . Which is relatively faster ? Why ?

N_(2(g))+O_(2(g))rarr 2NO_(2(g))-Q is ……………..

The volume occupied by O_2 gas at STP which is obtained by the decomposition of 17g of H_2O_2 is

The decomposition of N_(2)O_(5) in C Cl_(4) at 318K has been studies by monitoring the concentration of N_(2)O_(5) in the solution. Initially the concentration of N_(2)O_(5) is 2.33 mol L^(-1) and after 184 minutes, it is reduced to 2.08 mol L^(-1). The reaction takes placed according to the equation 2N_(2)O_(5)(g)to 4 NO _(2)(g) +O_(2)(g) Calculate the average rate of this reaction in terms of hours, minutres and seconds. What is the rate of proudction of NO_(2) during this period ?

For the decomposition of N_(2)O_(5)(g) it is given that 2NOI_(2)O_(5(g))to4NO_(2(g))+O_(2(g)) .Activation energy E_(a), N_(2)O_(5(g))to2NO_(2(g))+1/2O_(2(g)) Activating energy E_(a)

Which of the following factors will not distrub the equilibrium state of the reaction N_(2) (g) + O_(2) hArr 2NO(g) ?