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
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 $\square$
Solution
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 \(\boxed{2}\).