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Mass of an atom of an element is 1.6×10^-23g calculate the no of moles in 19.2 kg of it?
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Mass of an atom of an element is 1.6×10^-23g calculate the no of moles...
Understanding the Problem
To calculate the number of moles in 19.2 kg of the element, we need to follow these steps:
Step 1: Convert Mass to Grams
- 19.2 kg = 19,200 g
Step 2: Find the Mass of One Mole of Atoms
- The mass of an atom is given as 1.6 × 10^-23 g.
- To find the mass of one mole (Avogadro's number), we use:
- Mass of one mole = Mass of one atom × Avogadro's number (6.022 × 10^23)
- Calculation:
- Mass of one mole = 1.6 × 10^-23 g × 6.022 × 10^23 = 96.3 g
Step 3: Calculate the Number of Moles
- To find the number of moles in 19,200 g, use the formula:
- Number of moles = Total mass / Mass of one mole
- Calculation:
- Number of moles = 19,200 g / 96.3 g ≈ 199.2 moles
Final Result
- The number of moles in 19.2 kg of the element is approximately 199.2 moles.
This approach provides a clear understanding of how to calculate the number of moles from the mass of an element.
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Mass of an atom of an element is 1.6×10^-23g calculate the no of moles in 19.2 kg of it?
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