Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
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 our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
