Question

1. arrange these three samples from smallest to largest in terms of number of representative particles. (0.5 points) *

6.78 x 10^22 molecules glucose
2.14 x 10^24 atoms fe
1.25 x 10^25 atoms zn

Explanation:

Step1: Analyze the exponents of the numbers

The three samples have the following number of particles:

• Glucose: \(6.78 \times 10^{22}\) molecules
• Fe: \(2.14 \times 10^{24}\) atoms
• Zn: \(1.25 \times 10^{25}\) atoms

We can rewrite the numbers to have the same exponent for easier comparison. Let's convert them to have an exponent of 22.

Step2: Convert Fe's number of particles

For Fe: \(2.14 \times 10^{24}=2.14\times10^{2}\times 10^{22}=214\times 10^{22}\)

Step3: Convert Zn's number of particles

For Zn: \(1.25 \times 10^{25}=1.25\times10^{3}\times 10^{22}=1250\times 10^{22}\)

Step4: Compare the coefficients

Now we have:

• Glucose: \(6.78 \times 10^{22}\)
• Fe: \(214\times 10^{22}\)
• Zn: \(1250\times 10^{22}\)

Since \(6.78<214<1250\), the order from smallest to largest is based on the number of particles.

Answer:

\(6.78 \times 10^{22}\) molecules glucose, \(2.14 \times 10^{24}\) atoms Fe, \(1.25 \times 10^{25}\) atoms Zn