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From the rate expression for the followi...

From the rate expression for the following reactions determines the order of reaction and the dimensions of the rate constant.
a) `3NO(g) to N_(2)O(g) + NO_(2)(g)` , Rate `=k[NO]^(2)`
b) `H_(2)O_(2)(aq) + 3I^(-)(aq) + 2H^(+)(aq) to 2H_(2)O(l) + I_(3)^(-)`, Rate =`[H_(2)O_(2)][I^(-)]`
c) `CH_(3)CHO(g) to CH_(4)(g) + CO(g)` : Rate = `k[CH_(3)CHO]^(3//2)`
d) `CHCl_(3)(g) to Cl_(4)(g) + HCl(g)` : Rate = `k[CHCl_(3)][Cl_(2)]^(1//2)`
e) `C_(2)H_(5)Cl(g) to C_(2)H_(4)(g) + HCl(g)`, Rate =`k[C_(2)H_(5)Cl]`

Text Solution

Verified by Experts

a) Order of reaction = 2
Dimension of rate constant (k) = `[molL^(-1)]^(1-n)s^(-1)=[molL^(-1)]^(1-2)s^(-1)= mol^(-1)Ls^(-1)`
b) Order or reaction `= 1+1=2`
Dimension of rate consant (k) = same as in (a)
c) Order of reaction = `3//2`
Dimension of rate constant (k) = `[molL^(-1)]^(1-n)s^(-1)= [mol L^(-1)]^(1-3//2)s^(-1) = mol^(-1//2)L^(1//2)s^(-1)`
d) Order of reaction `= 1+1//2 = 3//2`
Dimension of rate constant(k) = Same as in (c)
e) Order of reaction = 1
Dimension of rate constant (k) =`[molL^(-1)]^(1-n)s^(-1) = [molL^(-1)](1-1)s^(-1)=s^(-1)`
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From the rate expressions for the following reactions, determine their order of reaction and the dimensions of the rate constants : (i) 3" NO "(g)toN_(2)O(g)+NO_(2)(g)," Rate "=k[NO]^(2) (ii) H_(2)O_(2)(aq)+3" I"^(-)(aq)+2" H"^(+)to2H_(2)O(l)+I_(3)^(-)," Rate "=k[H_(2)O_(2)][I^(-)] (iii) CH_(3)CHO(g)toCH_(4)(g)+" CO "(g)," Rate "=k[CH_(3)CHO]^(3//2) (iv) C_(2)H_(5)Cl(g)toC_(2)H_(4)(g)+HCl(g) ," Rate "=k[C_(2)H_(5)Cl].

From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants: (i) 3NO(g) to N_(2)O(g), "Rate"=k[NO]^(2) (ii) H_(2)O_(2)(aq)+3I^(-)(aq)+2H^(+) to 2H_(2)O(l)+I_(3)^(-), "Rate"=k[H_(2)O_(2)][I^(-)] (iii) CH_(3)CHO(g) to CH_(4)(g)+CO(g) , "Rate"=k[CH_(3)CHO]^(3//2) (iv) C_(2)H_(5)Cl(g) to C_(2)H_(4)(g)+HCl (g) , "Rate"=k[C_(2)H_(5)Cl]

Knowledge Check

  • Which of the following rate expression does not represent the rate of the reaction ? 2N_(2)O_(5(g)) to 4NO_(2(g)) + O_(2(g))

    A
    `-(1)/(2) (d[N_(2)O_(5)])/(dt)`
    B
    `(1)/(2) (d[N_(2)O_(5)])/(dt)`
    C
    `([O_2])/(dt)`
    D
    `(1)/(4) (d[NO_(2)])/(dt)`

  • Determine which of the following reactions at constant pressure represent surrounding that do work on the system environment : (P) 4NH_(3)(g) + 7O_(2)(g) to 4 NO_(2)+ 6H_(2)O(g) (Q) CO.O(g)+ 2H_(2)(g) to CH_(3)OH(l) (R) C("s,graphite")+H_(2)O(g) to CO(g)+H_(2)(g) (S) H_(2)O(s) to H_(2)O(l)

    A
    R,S
    B
    Q and R
    C
    Q,S
    D
    P,Q and S

  • For the following three reaction a, b and c, equilibrium constants are given : (i) CO(g) * H_(2)O_(g) hArr CO_(2)(g) * H_(2)(g), K_(1) (ii) CH_(4)(g) * H_(2)O(g) hArr CO(g) * 3H_(2)(g), K_(2) (iii) CH_(4)(g)+2H_(2)O(g) hArr CO_(2)(g)+4H_(2)(g), K_(3)

    A
    `K_(1)sqrt(K_(2))=K_(3)`
    B
    `K_(2)K_(3)=K_(1)`
    C
    `K_(3)=K_(1)K_(2)`
    D
    `K_(3).K_(2)^(3)=K_(1)^(2)`

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