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?

Question

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?

Infinity Learn · Accepted Answer

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

A cylinder of compressed gas contains nitrogen and oxygen in the ratio 3:1 by mole. If the cylinder is known to contain $2.5 \times 10^{4}$ g of oxygen, what is the total mass of the gas mixture?

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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 cylinder of compressed gas contains nitrogen and oxygen in the ratio 3:1 by mole. If the cylinder is known to contain $2.5 \times 10^{4}$ g of oxygen, what is the total mass of the gas mixture?