The following data was obtained for chemical reaction given below at 975 K. 2NO(g)+2H2(g)→N2(g)+2H2O(g)[NO] H2 Rate mol L−1 mol L−1 mol −1s−1 (A) 8×10−5 8×10−5 7×10−9 (B) 24×10−5 8×10−5 2.1×10−8 (C) 24×10−532×10−58.4×10−8 The order of the reaction with respect to NO is _____________[Integer answer]

r=k[NO]xH2yExp⁡1 7×10−9=k8×10−5x8×10−5yExp⁡2 2.1×10−8=k24×10−5x8×10−5yExp⁡3 8.4×10−8=k24×10−5x32×10−5yExp⁡3Exp⁡2 4=4yy=1Exp⁡2Exp⁡1 21×10−97×10−9=3x3=3xx=1

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The following data was obtained for chemical reaction given below at 975 K.
$\begin{array}{l} 2 {NO}_{(g)} + 2 H_{2 (g)} \to N_{2 (g)} + 2 H_{2} O_{(g)} \\ [NO] [H_{2}] Rate \\ mol L^{- 1} mol L^{- 1} {mol}^{- 1} s^{- 1} \\ (A) 8 \times 10^{- 5} 8 \times 10^{- 5} 7 \times 10^{- 9} \\ (B) 24 \times 10^{- 5} 8 \times 10^{- 5} 2 .1 \times 10^{- 8} \\ \begin{array}{lll} (C) 24 \times 10^{- 5} & 32 \times 10^{- 5} & 8 .4 \times 10^{- 8} \end{array} \end{array}$
The order of the reaction with respect to NO is _____________
[Integer answer]

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Detailed Solution

$\begin{array}{l} r = k [NO]^{x} {[H_{2}]}^{y} Exp 1 7 \times 10^{- 9} = k {[8 \times 10^{- 5}]}^{x} {[8 \times 10^{- 5}]}^{y} \\ Exp 2 2 .1 \times 10^{- 8} = k {[24 \times 10^{- 5}]}^{x} {[8 \times 10^{- 5}]}^{y} Exp 3 8 .4 \times 10^{- 8} = k {[24 \times 10^{- 5}]}^{x} {[32 \times 10^{- 5}]}^{y} \\ \frac{Exp 3}{Exp 2} 4 = 4^{y} \\ y = 1 \\ \frac{Exp 2}{Exp 1} \frac{21 \times 10^{- 9}}{7 \times 10^{- 9}} = 3^{x} \\ 3 = 3^{x} \\ x = 1 \end{array}$