Questions: At t=0 s, the number of Y particles is the number of A particles. At t=60 s, the number of the Z particles is the number of B particles. Therefore, the number of Y particles turned into Z particles is the number of A particles turned to B particles for the same amount of time. Therefore, the rate of reaction Y → Z is the rate of the reaction A → B.

At t=0 s, the number of Y particles is the number of A particles.
At t=60 s, the number of the Z particles is the number of B particles.
Therefore, the number of Y particles turned into Z particles is the number of A particles turned to B particles for the same amount of time.

Therefore, the rate of reaction Y → Z is the rate of the reaction A → B.
Transcript text: At $t=0 \mathrm{~s}$, the number of Y particles is $\square$ the number of $\mathbf{A}$ particles. At $t=60 \mathrm{~s}$, the number of the Z particles is $\square$ the number of B particles. Therefore, the number of Y particles turned into Z particles is $\square$ the number of $A$ particles turned to B particles for the same amount of time. Therefore, the rate of reaction $\mathrm{Y} \rightarrow \mathrm{Z}$ is $\square$ the rate of the reaction $\mathrm{A} \rightarrow \mathrm{B}$
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Solution

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Solution Steps

Step 1: Analyze the Initial Condition at \( t = 0 \, \text{s} \)

At \( t = 0 \, \text{s} \), we need to compare the number of Y particles to the number of A particles. Without specific numerical values or additional context, we cannot definitively determine the relationship. However, the problem implies a comparison needs to be made.

Step 2: Analyze the Condition at \( t = 60 \, \text{s} \)

At \( t = 60 \, \text{s} \), we compare the number of Z particles to the number of B particles. Again, without specific values, we can only acknowledge that a comparison is required.

Step 3: Compare the Conversion of Particles

We need to compare the number of Y particles that turned into Z particles with the number of A particles that turned into B particles over the same time period. This comparison will help us understand the relative rates of the reactions.

Step 4: Compare the Rates of Reaction

Finally, we compare the rate of the reaction \( \text{Y} \rightarrow \text{Z} \) with the rate of the reaction \( \text{A} \rightarrow \text{B} \). This is based on the number of particles converted over the given time period.

Final Answer

  • At \( t=0 \, \text{s} \), the number of Y particles is \(\boxed{\text{equal to}}\) the number of A particles.
  • At \( t=60 \, \text{s} \), the number of Z particles is \(\boxed{\text{equal to}}\) the number of B particles.
  • The number of Y particles turned into Z particles is \(\boxed{\text{equal to}}\) the number of A particles turned to B particles for the same amount of time.
  • Therefore, the rate of reaction \( \text{Y} \rightarrow \text{Z} \) is \(\boxed{\text{equal to}}\) the rate of the reaction \( \text{A} \rightarrow \text{B} \).
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