Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4) given 10.00 gram samples of licl, libr, lif and lii, place the sampl…

Question

  1. given 10.00 gram samples of licl, libr, lif and lii, place the samples in order of least to greatest number of atoms of lithium, li.

Explanation:

Step1: Calculate moles of each compound

Molar mass of \( \text{LiCl} \): \( 6.94 + 35.45 = 42.39 \, \text{g/mol} \)
Moles of \( \text{LiCl} \): \( \frac{10.00}{42.39} \approx 0.236 \, \text{mol} \) (1 mol Li per mol LiCl, so moles of Li = 0.236 mol)

Molar mass of \( \text{LiBr} \): \( 6.94 + 79.90 = 86.84 \, \text{g/mol} \)
Moles of \( \text{LiBr} \): \( \frac{10.00}{86.84} \approx 0.115 \, \text{mol} \) (moles of Li = 0.115 mol) Wait, no: Wait, 10/86.84 ≈ 0.115? Wait, 86.840.115≈10? No, 86.840.115≈10.0? Wait, 86.840.115 = 86.840.1 + 86.84*0.015 = 8.684 + 1.3026 = 9.9866 ≈10. So moles of LiBr is ≈0.115 mol? Wait, no, 10g / 86.84g/mol ≈0.115 mol. Then moles of Li is 0.115 mol.

Molar mass of \( \text{LiF} \): \( 6.94 + 19.00 = 25.94 \, \text{g/mol} \)
Moles of \( \text{LiF} \): \( \frac{10.00}{25.94} \approx 0.385 \, \text{mol} \) (moles of Li = 0.385 mol)

Molar mass of \( \text{LiI} \): \( 6.94 + 126.90 = 133.84 \, \text{g/mol} \)
Moles of \( \text{LiI} \): \( \frac{10.00}{133.84} \approx 0.0747 \, \text{mol} \) (moles of Li = 0.0747 mol)

Step2: Compare moles of Li (since 1 mol compound has 1 mol Li)

Moles of Li:

  • LiI: ~0.0747 mol
  • LiBr: ~0.115 mol
  • LiCl: ~0.236 mol
  • LiF: ~0.385 mol

Number of atoms is proportional to moles (Avogadro's number). So order from least to greatest number of Li atoms:

LiI (least) < LiBr < LiCl < LiF (greatest)

Answer:

Order (least to greatest number of Li atoms): \( \text{LiI} < \text{LiBr} < \text{LiCl} < \text{LiF} \)