If ‘X’ g of C and ‘2X’ g of Mg contains the same number of atoms, i.e., 6.02×1023, then X isequal to
Question
If ‘X’ g of C and ‘2X’ g of Mg contains the same number of atoms, i.e., 6.02×10^23, then X is equal to
Solution
The problem is asking for the mass 'X' of Carbon (C) and Magnesium (Mg) that contains Avogadro's number of atoms (6.02 x 10^23).
Step 1: We know that one mole of any substance contains Avogadro's number of atoms.
Step 2: The molar mass of Carbon (C) is approximately 12 g/mol and the molar mass of Magnesium (Mg) is approximately 24 g/mol.
Step 3: If 'X' g of Carbon contains Avogadro's number of atoms, then 'X' must be equal to the molar mass of Carbon. Therefore, X = 12 g.
Step 4: If '2X' g of Magnesium also contains Avogadro's number of atoms, then '2X' must be equal to the molar mass of Magnesium. Therefore, 2X = 24 g.
Step 5: Solving for X in the equation from step 4 gives X = 24 g / 2 = 12 g.
Therefore, X is equal to 12 g.
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