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(A) The value of $\Delta n$ is calculated as $\Delta n = \sum n_p - \sum n_r$,where $n_p$ is the number of moles of gaseous products and $n_r$ is the

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For $(1)$

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(A) The value of $\Delta n$ is calculated as $\Delta n = \sum n_p - \sum n_r$,where $n_p$ is the number of moles of gaseous products and $n_r$ is the number of moles of gaseous reactants.
For reaction $(1): C_2H_{6(g)} \rightleftharpoons C_2H_{4(g)} + H_{2(g)}$,$\Delta n = (1 + 1) - 1 = +1$.
For reaction $(2): N_{2(g)} + O_{2(g)} \rightleftharpoons 2NO_{(g)}$,$\Delta n = 2 - (1 + 1) = 0$.
For reaction $(3): H_{2(g)} + I_{2(g)} \rightleftharpoons 2HI_{(g)}$,$\Delta n = 2 - (1 + 1) = 0$.
Therefore,$\Delta n$ is positive for reaction $(1)$.

For which of the following reactions will the value of $\Delta n = \sum n_p - \sum n_r$ be positive? $(1)$ $C_2H_{6(g)} \rightleftharpoons C_2H_{4(g)} + H_{2(g)}$ $(2)$ $N_{2(g)} + O_{2(g)} \rightleftharpoons 2NO_{(g)}$ $(3)$ $H_{2(g)} + I_{2(g)} \rightleftharpoons 2HI_{(g)}$

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