Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Sure, let's calculate the molar masses of the given compounds using the periodic table to get their atomic masses. Here are the atomic masses we will use for the calculation:
- Sodium (Na): 22.99 g/mol
- Oxygen (O): 16.00 g/mol
- Hydrogen (H): 1.01 g/mol
- Carbon (C): 12.01 g/mol
- Sulfur (S): 32.07 g/mol
- Calcium (Ca): 40.08 g/mol
- Magnesium (Mg): 24.31 g/mol
- Phosphorus (P): 30.97 g/mol
Let's go through each compound one by one:
1. Sodium hydroxide (NaOH):
[tex]\[ \text{Molar mass of NaOH} = \text{Atomic mass of Na} + \text{Atomic mass of O} + \text{Atomic mass of H} \][/tex]
[tex]\[ = 22.99 + 16.00 + 1.01 = 40.00 \, g/mol \][/tex]
Therefore, the molar mass of NaOH is [tex]\( \boxed{40.00} \, g/mol \)[/tex].
2. Water (H[tex]\(_2\)[/tex]O):
[tex]\[ \text{Molar mass of H}_2\text{O} = 2 \times \text{Atomic mass of H} + \text{Atomic mass of O} \][/tex]
[tex]\[ = 2 \times 1.01 + 16.00 = 18.02 \, g/mol \][/tex]
Therefore, the molar mass of H[tex]\(_2\)[/tex]O is [tex]\( \boxed{18.02} \, g/mol \)[/tex].
3. Glucose (C[tex]\(_6\)[/tex]H[tex]\(_{12}\)[/tex]O[tex]\(_6\)[/tex]):
[tex]\[ \text{Molar mass of C}_6\text{H}_{12}\text{O}_6 = 6 \times \text{Atomic mass of C} + 12 \times \text{Atomic mass of H} + 6 \times \text{Atomic mass of O} \][/tex]
[tex]\[ = 6 \times 12.01 + 12 \times 1.01 + 6 \times 16.00 = 72.06 + 12.12 + 96.00 = 180.18 \, g/mol \][/tex]
Therefore, the molar mass of C[tex]\(_6\)[/tex]H[tex]\(_{12}\)[/tex]O[tex]\(_6\)[/tex] is [tex]\( \boxed{180.18} \, g/mol \)[/tex].
4. Calcium sulfate (CaSO[tex]\(_4\)[/tex]):
[tex]\[ \text{Molar mass of CaSO}_4 = \text{Atomic mass of Ca} + \text{Atomic mass of S} + 4 \times \text{Atomic mass of O} \][/tex]
[tex]\[ = 40.08 + 32.07 + 4 \times 16.00 = 40.08 + 32.07 + 64.00 = 136.15 \, g/mol \][/tex]
Therefore, the molar mass of CaSO[tex]\(_4\)[/tex] is [tex]\( \boxed{136.15} \, g/mol \)[/tex].
5. Magnesium phosphate (Mg[tex]\(_3\)[/tex](PO[tex]\(_4\)[/tex])[tex]\(_2\)[/tex]):
[tex]\[ \text{Molar mass of Mg}_3(\text{PO}_4)_2 = 3 \times \text{Atomic mass of Mg} + 2 \times (\text{Atomic mass of P} + 4 \times \text{Atomic mass of O}) \][/tex]
[tex]\[ = 3 \times 24.31 + 2 \times (30.97 + 4 \times 16.00) \][/tex]
[tex]\[ = 3 \times 24.31 + 2 \times (30.97 + 64.00) \][/tex]
[tex]\[ = 72.93 + 2 \times 94.97 \][/tex]
[tex]\[ = 72.93 + 189.94 = 262.87 \, g/mol \][/tex]
Therefore, the molar mass of Mg[tex]\(_3\)[/tex](PO[tex]\(_4\)[/tex])[tex]\(_2\)[/tex] is [tex]\( \boxed{262.87} \, g/mol \)[/tex].
To summarize:
- Sodium hydroxide (NaOH): [tex]\( \boxed{40.00} \, g/mol \)[/tex]
- Water (H[tex]\(_2\)[/tex]O): [tex]\( \boxed{18.02} \, g/mol \)[/tex]
- Glucose (C[tex]\(_6\)[/tex]H[tex]\(_{12}\)[/tex]O[tex]\(_6\)[/tex]): [tex]\( \boxed{180.18} \, g/mol \)[/tex]
- Calcium sulfate (CaSO[tex]\(_4\)[/tex]): [tex]\( \boxed{136.15} \, g/mol \)[/tex]
- Magnesium phosphate (Mg[tex]\(_3\)[/tex](PO[tex]\(_4\)[/tex])[tex]\(_2\)[/tex]): [tex]\( \boxed{262.87} \, g/mol \)[/tex]
- Sodium (Na): 22.99 g/mol
- Oxygen (O): 16.00 g/mol
- Hydrogen (H): 1.01 g/mol
- Carbon (C): 12.01 g/mol
- Sulfur (S): 32.07 g/mol
- Calcium (Ca): 40.08 g/mol
- Magnesium (Mg): 24.31 g/mol
- Phosphorus (P): 30.97 g/mol
Let's go through each compound one by one:
1. Sodium hydroxide (NaOH):
[tex]\[ \text{Molar mass of NaOH} = \text{Atomic mass of Na} + \text{Atomic mass of O} + \text{Atomic mass of H} \][/tex]
[tex]\[ = 22.99 + 16.00 + 1.01 = 40.00 \, g/mol \][/tex]
Therefore, the molar mass of NaOH is [tex]\( \boxed{40.00} \, g/mol \)[/tex].
2. Water (H[tex]\(_2\)[/tex]O):
[tex]\[ \text{Molar mass of H}_2\text{O} = 2 \times \text{Atomic mass of H} + \text{Atomic mass of O} \][/tex]
[tex]\[ = 2 \times 1.01 + 16.00 = 18.02 \, g/mol \][/tex]
Therefore, the molar mass of H[tex]\(_2\)[/tex]O is [tex]\( \boxed{18.02} \, g/mol \)[/tex].
3. Glucose (C[tex]\(_6\)[/tex]H[tex]\(_{12}\)[/tex]O[tex]\(_6\)[/tex]):
[tex]\[ \text{Molar mass of C}_6\text{H}_{12}\text{O}_6 = 6 \times \text{Atomic mass of C} + 12 \times \text{Atomic mass of H} + 6 \times \text{Atomic mass of O} \][/tex]
[tex]\[ = 6 \times 12.01 + 12 \times 1.01 + 6 \times 16.00 = 72.06 + 12.12 + 96.00 = 180.18 \, g/mol \][/tex]
Therefore, the molar mass of C[tex]\(_6\)[/tex]H[tex]\(_{12}\)[/tex]O[tex]\(_6\)[/tex] is [tex]\( \boxed{180.18} \, g/mol \)[/tex].
4. Calcium sulfate (CaSO[tex]\(_4\)[/tex]):
[tex]\[ \text{Molar mass of CaSO}_4 = \text{Atomic mass of Ca} + \text{Atomic mass of S} + 4 \times \text{Atomic mass of O} \][/tex]
[tex]\[ = 40.08 + 32.07 + 4 \times 16.00 = 40.08 + 32.07 + 64.00 = 136.15 \, g/mol \][/tex]
Therefore, the molar mass of CaSO[tex]\(_4\)[/tex] is [tex]\( \boxed{136.15} \, g/mol \)[/tex].
5. Magnesium phosphate (Mg[tex]\(_3\)[/tex](PO[tex]\(_4\)[/tex])[tex]\(_2\)[/tex]):
[tex]\[ \text{Molar mass of Mg}_3(\text{PO}_4)_2 = 3 \times \text{Atomic mass of Mg} + 2 \times (\text{Atomic mass of P} + 4 \times \text{Atomic mass of O}) \][/tex]
[tex]\[ = 3 \times 24.31 + 2 \times (30.97 + 4 \times 16.00) \][/tex]
[tex]\[ = 3 \times 24.31 + 2 \times (30.97 + 64.00) \][/tex]
[tex]\[ = 72.93 + 2 \times 94.97 \][/tex]
[tex]\[ = 72.93 + 189.94 = 262.87 \, g/mol \][/tex]
Therefore, the molar mass of Mg[tex]\(_3\)[/tex](PO[tex]\(_4\)[/tex])[tex]\(_2\)[/tex] is [tex]\( \boxed{262.87} \, g/mol \)[/tex].
To summarize:
- Sodium hydroxide (NaOH): [tex]\( \boxed{40.00} \, g/mol \)[/tex]
- Water (H[tex]\(_2\)[/tex]O): [tex]\( \boxed{18.02} \, g/mol \)[/tex]
- Glucose (C[tex]\(_6\)[/tex]H[tex]\(_{12}\)[/tex]O[tex]\(_6\)[/tex]): [tex]\( \boxed{180.18} \, g/mol \)[/tex]
- Calcium sulfate (CaSO[tex]\(_4\)[/tex]): [tex]\( \boxed{136.15} \, g/mol \)[/tex]
- Magnesium phosphate (Mg[tex]\(_3\)[/tex](PO[tex]\(_4\)[/tex])[tex]\(_2\)[/tex]): [tex]\( \boxed{262.87} \, g/mol \)[/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.