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Q.

The equation and rate law for the gas phase reaction between NO and $H_{2}$ are :
$2 NO (g) + 2 H_{2} (g) ⟶ N_{2} (g) + 2 H_{2} O (g)$
Rate $= k [NO]^{2} [H_{2}]$
What are the units of k if time is in seconds and the concentration is in moles per litre?

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a

$L^{2} \cdot {mol}^{- 2} \cdot s^{- 1}$

b

$mol \cdot L^{- 1} \cdot s^{- 1}$

c

$L \cdot s \cdot {mol}^{- 1}$

d

${mol}^{2} \cdot L^{- 2} \cdot s^{- 1}$

answer is B.

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Detailed Solution

Given reaction is,

$2 NO (g) + 2 H_{2} (g) ⟶ N_{2} (g) + 2 H_{2} O (g)$

In this case, the rate is,

Rate $= k [NO]^{2} [H_{2}]$

As time is in seconds and the concentration is in moles per litre, then the unit of k will be $L^{2} \cdot {mol}^{- 2} \cdot s^{- 1}$ .

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