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The number of neutrons in 1*8 g of water...

The number of neutrons in `1*8` g of water will approximately be

A

`4*216xx10^(23)`

B

`8*432xx10^(23)`

C

`4*816xx10^(23)`

D

`4*216xx10^(24)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the number of neutrons in 1.8 g of water, we can follow these steps: ### Step 1: Determine the composition of water (H₂O) Water consists of 2 hydrogen (H) atoms and 1 oxygen (O) atom. ### Step 2: Find the atomic mass and neutrons for each atom - **Hydrogen (H)**: - Atomic number = 1 (1 proton) - Mass number = 1 (therefore, 0 neutrons) - **Oxygen (O)**: - Atomic number = 8 (8 protons) - Mass number = 16 (therefore, 16 - 8 = 8 neutrons) ### Step 3: Calculate the total number of neutrons in one molecule of water (H₂O) - Total neutrons in H₂O = Neutrons in H + Neutrons in O - Total neutrons = 0 (from H) + 8 (from O) = 8 neutrons ### Step 4: Calculate the number of moles of water in 1.8 g - Molar mass of water (H₂O) = 18 g/mol - Number of moles = Given mass / Molar mass - Number of moles = 1.8 g / 18 g/mol = 0.1 moles ### Step 5: Calculate the number of molecules in 0.1 moles of water - Use Avogadro's number (6.022 x 10²³ molecules/mol) - Number of molecules = Number of moles × Avogadro's number - Number of molecules = 0.1 moles × 6.022 x 10²³ molecules/mol = 6.022 x 10²² molecules ### Step 6: Calculate the total number of neutrons in 1.8 g of water - Total neutrons = Number of molecules × Neutrons per molecule - Total neutrons = 6.022 x 10²² molecules × 8 neutrons/molecule = 4.8176 x 10²³ neutrons ### Final Answer: The number of neutrons in 1.8 g of water is approximately **4.82 x 10²³ neutrons**. ---

To find the number of neutrons in 1.8 g of water, we can follow these steps: ### Step 1: Determine the composition of water (H₂O) Water consists of 2 hydrogen (H) atoms and 1 oxygen (O) atom. ### Step 2: Find the atomic mass and neutrons for each atom - **Hydrogen (H)**: - Atomic number = 1 (1 proton) ...
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