Home
Class 11
CHEMISTRY
For the hypothetical reaction A +B hAr...

For the hypothetical reaction
`A +B hArr C+2D`
equilibrium constant at 400 K is `1.8 xx 10^(-6)` mol `L^(-1)`

A

`9.5 xx 10^(-5) mol L^(-1)`

B

`9.5 xx 10^(-4) mol L^(-1)`

C

`4.75 xx10^(-4) mol L^(-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
`{:(,A,+,B,hArr,C,+,2D),("Initial conc." (mol L^(-1)),-,,-,,1.0,,1.0),("At equilibrium" (mol L^(-1)),((1-0-x)/(2)),,((1.0-x)/(2)),,((1.0+x)/(2)),,x):}`
D used up `=(1.0 -x )` mol `L^(-1)`
C used up `=((1.0-x)/(2)) mol L^(-1)`
C at equilibrium `(1.0-(1.0-x)/(2))mol L^(-1)`
`=((1.0+x)/(2)) mol L^(-1)`
A ( or B ) produced at equilibrium `=C` used up
`=((1.0-x)/(2))mol L^(-1)`
A very small value of K indicates that at equilibrium concentrations of C and D are very small i.e., x is very small. As such at equilibrium
`[C]=((1.0+x)/(2))=0.5 mol L^(-1)`
`[D]=x mol L^(-1) , [A]=[B]`
`=((1.0-x)/(2)) mol L^(-1)`
`=0.50 mol L^(-1)`
`:. K=([C][D]^(2))/([A][B])`
`1.8 xx 10^(-6)=(0.50xx x^(2))/(0.50 xx 0.80)`
`x^(2)=9.0 xx 10^(-9)`
`implies x=9.5 xx10^(-4) mol L^(-1)`
`:. [D]=x=9.5 xx 10^(-4) mol L^(-1)`
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL AND CHEMICAL EQUILIBRIA

    DINESH PUBLICATION|Exercise REASON ASSERTION TYPE MCQs|10 Videos

  • P BLOCK ELEMENTS (GROUP 13 AND 14 )

    DINESH PUBLICATION|Exercise Straight obj.|17 Videos

  • RATES OF REACTIONS AND CHEMICAL KINETICS

    DINESH PUBLICATION|Exercise Ultimate Preparatory Package|29 Videos

Similar Questions

Explore conceptually related problems

For a hypothetical reaction 4A+5B hArr 4P +6Q . The equilibrium constant K_(c ) has units.

For the reaction of XO with O_(2) to form XO_(2) the equilibrium constant at 398 K is 1.0 xx 10^(-4) mol^(-1) . If 1.0 mol of XO and 2,0 mol of O_(2) are placed in a 1.0 L flask and allowed to come to equilibrium, the equilibrium concentration of XO_(2) will be

For a reaction , Br_(2) hArr 2 Br, the equilibrium constant at 600K and 800 K are respectively 6.1 xx 10^(-12) and 1.0 xx 10^(-7) . What is the nature of the reaction?

For an isomerization reaction D harr L expression for equilibrium constant is given by R =8.3J K^(-1) mol^(-1) ln K = 4.814 - (2062.65)/(T(K) Enthalpy of the reaction (Delta H^(@)) at 25^(@)C is

For reaction 2A+B hArr 2C, K=x Equilibrium constant for C hArr A+1//2 B will be

In the reaction, A + B hArr2C , at equilibrium, the concentration of A and B is 0.20 mol L^(-1) each and that of C was found to be 0.60 mol L^(-1) . The equilibrium constant of the reaction is

For the reaction 2NOCl(g) hArr 2NO(g)+Cl_(2)(g) , the equilibrium constant is 2.8xx10^(-5) at 300 K and 7.0xx10^(-1) at 400 K . What is the activation energy for the reaction?