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Lisa [10]
4 years ago
7

A gas sample contains 4.00 g of ch4 and 2.00 g of he. what is the volume of the sample at stp? 5.64 l 32.0 l 22.4 l 16.8 l 132 l

Chemistry
1 answer:
Phantasy [73]4 years ago
4 0
The gas sample consists of CH₄ and He.
Number of CH₄ moles - 4 g/ 16 g/mol = 0.25 mol
molar volume is where 1 mol of any gas occupies a volume of 22.4 L 
Therefore 0.25 mol of CH₄ gas occupies a volume of 22.4 L/mol x 0.25 mol
Volume of methane - 5.6 L 
Number of He moles - 2.00 g/ 4 g/mol = 0.5 mol 
Volume occupied by He - 22.4 L /mol x 0.5 mol = 11.2 L
The total volume of the sample = 5.6 L + 11.2 L = 16.8 L 
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As we know that according to Avogadro's number there are 6.023 \times 10^{26} atom present in 1 mole. Therefore, weight of 1 atom will be as follows.

            1 atoms weight = \frac{38}{6.023 \times 10^{26}}    

In a diamond cubic cell, the number of atoms are 8. So, n = 8 for diamond cubic cell.

Therefore, total weight of atoms in a unit cell will be as follows.

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            = 37.06 \times 10^{-26}

Now, we will calculate the volume of a lattice with lattice constant 'a' (cubic diamond) as follows.

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                   = (0.503 \times 10^{-9})^{3}

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Formula to calculate density of diamond cell is as follows.

               Density = \frac{mass}{volume}

                             = \frac{37.06 \times 10^{-26}}{0.127 \times 10^{-27} m^{3}}

                            = 2918.1 g/m^{3}

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Thus, we can conclude that density of given semiconductor in grams/cc is 0.0029 g/cc.

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