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Enthalpy

If Δ U of com...

Question

If $Δ U$ of combustion of $C H_{4} (g)$ ,
$C H_{4} (g) + 2 O_{2} (g) \to C O_{2} (g) + 2 H_{2} O (l)$
at certain temperature is $- 393 k J m o l^{- 1}$ . The value of $Δ H$ is:

A

zero

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B

< Δ U

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C

> Δ U

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D

equal to

Δ U

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Solution

The correct option is B $< Δ U$
The reaction is
$C H_{4} (g) + 2 O_{2} (g) \to C O_{2} (g) + 2 H_{2} O (l)$
$Δ n_{g} = (n_{p} - n_{r})_{g} = 1 - 3 = - 2$
and
$Δ H = Δ U + Δ n_{g} R T$
As, $Δ n_{g} = - 2$
so,
$\Rightarrow Δ H < Δ U$

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Δ U

of combustion of

C H_{4} (g)

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at certain temperature is

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