27.Which of the following pairs have same number of molecules?
i)2 g of O2, 4 g of SO2
ii)2 g CO2, 2 g of N2O
iii)224 ml O2 at STP, 448 ml of He at 0.5 atm and 273 K
iv)2 g oxygen and 2 g ozone

Dear student,

i) molar mass of O2 is 32 and that of SO2 is (32+16 x 2) = 64
therefore, 32 g of O2 and 64 g of SO4 has same moles.
Thus, 2 g of O2 and 4 moles of SO2 has same number of moles.

ii) Molar mass of CO2 is (12 + 16 x 2) = 44 and that of N2O is (14 x 2 +16) = 44
Therefore, 2 g of CO2 and N2O each has same number of moles.

iii) Number of moles is directly proportional to the number of moles.
Therefore, same volume of gases will have same number of moles.
Thus, the two gases have different volumes and hence different number of moles.

iv) Molar mass of O2 is 32 and that of O3 is 48.
Thus same mass of the two gases cannot have same number of moles.

Regards

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