Questions: This question has multiple parts. Work all the parts to get the most points. The reaction 2 NO(g)+2 H2(g) rightarrow N2(g)+2 H2O(g) was studied at 904^circC, and the data in the table were collected. Trial Reaction Concentration (mol/L) Rate of Appearance of N (mol/L-s) --------- [NO] [H2] 1 0.420 0.122 0.136 2 0.210 0.122 0.0339 3 0.210 0.244 0.0678 4 0.105 0.488 0.0339 Which two reaction trials can be used to determine the order of the reaction in [NO]? and

This question has multiple parts. Work all the parts to get the most points.

The reaction
2 NO(g)+2 H2(g) rightarrow N2(g)+2 H2O(g)
was studied at 904^circC, and the data in the table were collected.

Trial  Reaction Concentration (mol/L)  Rate of Appearance of N (mol/L-s) 
---------
 [NO]  [H2]  
1  0.420  0.122  0.136 
2  0.210  0.122  0.0339 
3  0.210  0.244  0.0678 
4  0.105  0.488  0.0339

Which two reaction trials can be used to determine the order of the reaction in [NO]? and
Transcript text: This question has multiple parts. Work all the parts to get the most points. The reaction \[ 2 \mathrm{NO}(g)+2 \mathrm{H}_{2}(g) \rightarrow \mathrm{N}_{2}(g)+2 \mathrm{H}_{2} \mathrm{O}(g) \] was studied at $904^{\circ} \mathrm{C}$, and the data in the table were collected. \begin{tabular}{cccc} Trial & \begin{tabular}{c} Reaction \\ Concentration \\ (mol/L) \end{tabular} & \begin{tabular}{c} Rate of \\ Appearance of N \\ (mol/L-s) \end{tabular} \\ & {$[$ [NO] } & {$\left[\mathrm{H}_{2}\right]$} & \\ 1 & 0.420 & 0.122 & 0.136 \\ 2 & 0.210 & 0.122 & 0.0339 \\ 3 & 0.210 & 0.244 & 0.0678 \\ 4 & 0.105 & 0.488 & 0.0339 \end{tabular} Which two reaction trials can be used to determine the order of the reaction in [NO]? $\square$ and $\square$
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Solution

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Solution Steps

Step 1: Understanding the Reaction and Data

The reaction given is: \[ 2 \mathrm{NO}(g) + 2 \mathrm{H}_{2}(g) \rightarrow \mathrm{N}_{2}(g) + 2 \mathrm{H}_{2} \mathrm{O}(g) \]

The rate of appearance of \(\mathrm{N}_{2}\) is provided for different trials with varying concentrations of \([\mathrm{NO}]\) and \([\mathrm{H}_{2}]\).

Step 2: Identifying Trials to Determine the Order with Respect to [NO]

To determine the order of the reaction with respect to \([\mathrm{NO}]\), we need to compare trials where the concentration of \([\mathrm{H}_{2}]\) remains constant while \([\mathrm{NO}]\) changes. This allows us to isolate the effect of \([\mathrm{NO}]\) on the reaction rate.

Step 3: Selecting Appropriate Trials

From the data:

  • Trials 1 and 2 have the same \([\mathrm{H}_{2}]\) concentration of 0.122 mol/L, but different \([\mathrm{NO}]\) concentrations (0.420 mol/L and 0.210 mol/L, respectively).

These trials can be used to determine the order of the reaction with respect to \([\mathrm{NO}]\).

Final Answer

The trials that can be used to determine the order of the reaction in \([\mathrm{NO}]\) are \(\boxed{1}\) and \(\boxed{2}\).

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