Arrange the following in decreasing order of number of molecules contained in:
(A) 16 g of O2
(B) 16 g of CO2
(C) 16 g of CO
(D) 16 g of H2
Choose the correct order:
Correct Answer :
(D), (C), (A), (B)
Solution :
The correct option is (D), (C), (A), (B).
To determine the decreasing order of the number of molecules, we use the relation between mass, molar mass, and the number of moles. Since the number of molecules is directly proportional to the number of moles, we can find the number of moles for each substance using the formula:
Here, the given mass is 16 g for all the substances.
Step-by-step calculations:
(A) 16 g of O2:
Molar mass of O2 = 2 × 16 = 32 g/mol
(B) 16 g of CO2:
Molar mass of CO2 = 12 + (2 × 16) = 44 g/mol
(C) 16 g of CO:
Molar mass of CO = 12 + 16 = 28 g/mol
(D) 16 g of H2:
Molar mass of H2 = 2 × 1 = 2 g/mol
Comparing the values, the order of the number of moles (and hence molecules) from highest to lowest is:
H2 (8 mol) > CO (0.57 mol) > O2 (0.5 mol) > CO2 (0.36 mol)
Therefore, the decreasing order is (D), (C), (A), (B).
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