consider the following rate law.

\ \text{rate} = k\text{a}^x \

determine the value of $x$ if the rate doubles when $\text{a}$ is doubled.

$x =$

determine the value of $x$ if no change in rate occurs when $\text{a}$ is doubled.

$x =$

Question

consider the following rate law.

\ \text{rate} = k\text{a}^x \

determine the value of $x$ if the rate doubles when $\text{a}$ is doubled.

$x =$

determine the value of $x$ if no change in rate occurs when $\text{a}$ is doubled.

$x =$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Reaction Order", "Rate Law" ], "new_concepts": [], "current_concepts": [ "Reaction Order", "Rate Law" ] } ## Set up the rate ratio equation $$ \frac{\text{rate}_2}{\text{rate}_1} = \frac{k(2[\text{A}]_1)^x}{k[\text{A}]_1^x} = 2^x $$ ## Solve for first case (rate doubles) $$ \begin{aligned} 2^x &= 2 \ x &= 1 \end{aligned} $$ ## Solve for second case (no change in rate) $$ \begin{aligned} 2^x &= 1 \ x &= 0 \end{aligned} $$ ## Question 1 Determine the value of $x$ if the rate doubles when $[\text{A}]$ is doubled. $x =$ 1 ## Question 2 Determine the value of $x$ if no change in rate occurs when $[\text{A}]$ is doubled. $x =$ 0 { "subject": "Natural Science", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Natural Science", "Chemistry", "Chemical Kinetics" ] }

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QUESTION IMAGE

Question

Explanation:

Set up the rate ratio equation

Solve for first case (rate doubles)

Solve for second case (no change in rate)

Answer:

Question 1

Question 2