Calculate the resonance energy of N2O from the following data- fHo of N2O - 82 kJ mol-1-N- N- 946 kJ mol-1- N - N- 418 kJ mol-1-O - O- 498 kJ mol-1- N - O- 607 kJ mol-1

Given B.E. _N ≡ N = nbsp;946 kJ mol^ 1 B.E._ O = O nbsp;= 498 kJ mol^ 1 B.E._N = N = 418 kJ mol^ 1 B.E._N = O = 607 kJ mol^ 1 Formation of N_2O N ≡ N(g) + ...

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Standard XII

Chemistry

Heat of Reaction

Calculate the...

Question

Calculate the resonance energy of $N_{2} O$ from the following data:
$△_{f} H^{o} o f N_{2} O = 82 k J m o l^{- 1},$
$N \equiv N, 946 k J m o l^{- 1}; N = N, 418 k J m o l^{- 1};$
$O = O, 498 k J m o l^{- 1}; N = O, 607 k J m o l^{- 1}$

- 88 k J m o l^{- 1}

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98 k J m o l^{- 1}

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- 78 k J m o l^{- 1}

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78 k J m o l^{- 1}

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Solution

The correct option is A $- 88 k J m o l^{- 1}$
Given-
$B . E ._{N \equiv N} = 946 k J m o l^{- 1}$
$B . E ._{O = O} = 498 k J m o l^{- 1}$
$B . E ._{N = N} = 418 k J m o l^{- 1}$
$B . E ._{N = O} = 607 k J m o l^{- 1}$
Formation of $N_{2} O$
$N \equiv N (g) + \frac{1}{2} O = O (g) \to N = N - O$
$△ H^{o} (c a l) = [B . E ._{N \equiv N} + 1 / 2 B . E ._{O = O}] - [B . E ._{N = N} + B . E_{N = O}]$
$= [946 + \frac{1}{2} (498) - [418 + 607] k J m o l^{- 1} = 170 k J m o l^{- 1}$
$[946 + \frac{1}{2} (498)] - [418 + 607] k J m o l^{- 1} = 170 k J m o l^{- 1}$
$△ H^{o} (c a l)$ comes out to be $170 k J m o l^{- 1}$

We know,
Resonance energy $= △_{f} H^{o} (o b s) - △_{f} H^{o} (c a l)$

Putting all the values,
$= 82 - 170 = - 88 k J m o l^{- 1}$
hence, Resonance energy $= - 88 k J m o l^{- 1}$

Theory:

Resonance Energy:

The difference in the energy of the most stable resonating structure and the energy of the actual molecule.

Determination of resonance energy:

For compounds exhibiting resonance
Considerable difference between the calculated and the experimentally determined $Δ H^{o}$ . This occurs due to stabilization by resonance and is measured as Resonance Energy.
Resonance energy $= △_{f} H^{o} (o b s) - △_{f} H^{o} (c a l)$

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Similar questions

Q. Calculate the resonance energy of

N_{2} O

from the following data:

△_{f} H^{o} o f N_{2} O = 82 k J m o l^{- 1},

N \equiv N, 946 k J m o l^{- 1}; N = N, 418 k J m o l^{- 1};

O = O, 498 k J m o l^{- 1}; N = O, 607 k J m o l^{- 1}

Q. Calculate the reasonance energy of

N_{2} O

from the following data.of

△ H_{f}^{o}

N_{2} O = 82 k J m o l^{- 1}

Bond energy of N

\equiv

N, N = N, O = O and N = O bonds are 946, 418, 498 & 607

k J m o l^{- 1}

respectively.

Q. Calculate the magnitude of resonance energy of

N_{2} O (i n k J m o l^{- 1})

from the following data:

Δ H_{f}^{0}

N_{2} O

82 k J m o l^{- 1}

Bond energies:

N \equiv N 946 k J m o l^{- 1}

N = N 418 k J m o l^{- 1}

O = O 498 k J m o l^{- 1}

N = O 607 k J m o l^{- 1}

Q. Calculate the resonance energy of

N_{2} O

from the following data:

Δ H_{f}

N_{2} O

82 kJ/mol

N \equiv N 946 kJ/mol

N = N 418 kJ/mol

O = O 498 kJ/mol

N = O 607 kJ/mol

Q. Calculate the resonance energy of

N_{2} O

from the following data:

Δ H_{f}

N_{2} O = 82 k J {m o l}^{- 1}

, standard bond enthalpies of

N \equiv N

N \equiv N

O \equiv O

and

N \equiv O

bonds are 946, 418, 498 and

K J {m o l}^{- 1}

respectively.

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Heat of Reaction

Standard XII Chemistry

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Calculate the resonance energy of N2O from the following data: △fHo of N2O=82 kJ mol−1, N≡N, 946 kJ mol−1; N=N, 418 kJ mol−1; O=O, 498 kJ mol−1; N=O,607 kJ mol−1

Calculate the resonance energy of $N_{2} O$ from the following data:
$△_{f} H^{o} o f N_{2} O = 82 k J m o l^{- 1},$
$N \equiv N, 946 k J m o l^{- 1}; N = N, 418 k J m o l^{- 1};$
$O = O, 498 k J m o l^{- 1}; N = O, 607 k J m o l^{- 1}$