5. A 1.1181-g sample of an alloy (a mixture) of aluminum and magnesium was treated with an excess of sodium hydroxide solution. In the reaction, only the aluminum reacts with the sodium
hydroxide solution:
2 Al + 2 NaOH + 6 H202 Na[Al(OH)4] + 3 H2
If 0.1068 g of H2 is produced, what is the mass percent of aluminum in the alloy?

Answer : The mass percent of Al in the alloy is 85.9 %.

Explanation : Given,

Mass of sample of an alloy  = 1.1181 g

Mass of = 0.1068 g

Molar mass of = 2 g/mol

Molar mass of = 27 g/mol

First we have to calculate the moles of .

Now we have to calculate the moles of

The balanced chemical equation is:

From the reaction, we conclude that

As, 3 moles of produced from 2 moles of

So, 0.0534 mole of produced from mole of

Now we have to calculate the mass of

Now we have to calculate the mass percent of Al in the alloy.

Mass percent of Al in alloy =

Mass percent of Al in alloy =

Mass percent of Al in alloy = 85.9%

Therefore, the mass percent of Al in the alloy is 85.9 %.

in scientific notation, the value of the  speed of light in a vacuum

  will be written as 2.995 * 10^8. when this value is represented in the form of

  a * 10^b, then, a = 2.995 and b = 8.

the value of the speed of light in a vacuum given above can also be rounded up to approximately 300000000. in this case, the scientific notation will be written as 3 *10^8.

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