For rate = k[NO]^2[Cl2], a trial with [NO] = 0.10 M and [Cl2] = 0.10 M gives 0.00300 mol/L/s. What is k?
A3.0 L^2/mol^2/s
B0.30 L^2/mol^2/s
C30 L^2/mol^2/s
D300 L^2/mol^2/s
Answer & Solution
Correct answer: A. 3.0 L^2/mol^2/s
1. Substitute into rate = k[NO]^2[Cl2] with the trial values.
2. The concentration factor is 0.10 squared times 0.10, which is 0.0010 mol^3/L^3.
3. So 0.00300 mol/L/s equals k times 0.0010 mol^3/L^3.
4. Dividing gives k = 3.0 L^2/mol^2/s.
5. The reaction is third order overall, so the units must be L^2/mol^2/s and not L/mol/s.
6. The value 0.30 comes from squaring only one concentration and forgetting the third factor.
7. The value 300 comes from dividing by 0.10 cubed written as 1.0 x 10^-5 by mistake.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 12 "Kinetics", section 12.3 Rate Laws_
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