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Q.

A cylinder of compressed gas contains nitrogen and oxygen in the ratio 3:1 by mole. If the cylinder is known to contain 2.5×104 g of oxygen, what is the total mass of the gas mixture?

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a

781.25

b

6.5625×104

c

9.0625×104

d

6.023×105

answer is C.

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Detailed Solution

Number of moles of oxygen in the cylinder = = Mass (in gram)  Molecular mass (in gram mol-1=2.5×10432=781.25∴  Number of moles of N2=3×781.25=2343.75Mass of nitrogen in the cylinder = 2343.75×28                                              = 65625 g = 6.5625x 104gTotal mass of the gas in the cylinder =2.5×104+6.5625×104                    =9.0625×104 g
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