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As we know,
density of water is 1 g/cm³
and molecular weight of water is 18g/mol , it means ,
18g of water contains 6.023 × 10²³ molecules of it.
First of all we have to find
volume of 1 mole of water
= mass/density = 18g/{1g/cm³} = 18 cm³
hence, volume of 1 mole of water = 18cm³ = 18 × 10⁻⁶ cm³
∵ 1 mole of water = 6.023 × 10²³ molecules of water
∴ volume of 6.023 × 10²³ molecules of water = 1.8 × 10⁻⁵ cm³
⇒ volume of 1 Molecule of water = 1.8/6.023 × 10⁻⁵⁻²³ cm³
= 0.2988 × 10⁻²⁸ cm³ {answer}
Let radius of water molecule is r
Then, volume of 1 Molecule of water = 4/3 πr³
∴ 4/3 πr³ = 0.2988 × 10⁻²⁸ cm³
⇒r³ = 0.2988 ×3/4π × 10⁻²⁸
⇒r = 0.1925 × 10⁻⁹ cm
ANSWER OF QUESTION 2ND IS
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Explanation:
==>1.926×10^-10
is ur answer....
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