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Calculate the number of moles of gas used when 7.5 moles of sodium react with oxygen.

A. Balanced equation

B. Dimensional analysis:

1 Answer

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A. The balanced equation for the reaction between sodium and oxygen is:

4 Na + O2 -> 2 Na2O

B. Dimensional analysis:

From the balanced equation, we can see that 4 moles of sodium react with 1 mole of oxygen to produce 2 moles of sodium oxide.

Given that 7.5 moles of sodium are used, we can set up the following proportion:

4 moles Na / 1 mole O2 = 7.5 moles Na / x moles O2

Solving for x, we get:

x = (7.5 moles Na) / (4 moles Na/ 1 mole O2) = 7.5 moles Na * (1 mole O2/4 moles Na) = 1.875 moles O2

Therefore, the number of moles of oxygen used in the reaction is 1.875 moles.
User Gowtham Chand
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