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How many particles would be found in 2.38 g of (NH4)3PO4

Sagot :

No. Of moles = mass/molar mass of (NH4)3PO4=2.38/149=0.02

No. Of particles= no. Of moles x 6.0x10^23 = 0.02 x 6.0x10^23 = 1.2x10^22

The number of particles in 2.38 g ammonium phosphate are [tex]\rm \bold{9.0345\;\times\;10^2^1}[/tex].

The number of particles in a mole of sample is given by Avogadro law. The number of particles in a mole of a sample is equivalent to [tex]\rm 6.023\;\times\;10^2^3[/tex].

Computation for number of molecules in [tex]\rm (NH_4)_3PO_4[/tex]

The given mass of ammonium phosphate is 2.38 g.

The molar mass of ammonium phosphate is 149 g/mol

The moles of the sample is given as:

[tex]\rm Moles=\dfrac{Mass}{Molar\;mass} \\\\Moles\;(NH_4)_3PO_4=\dfrac{2.38\;g}{149\;g/mol}\\\\ Moles\;(NH_4)_3PO_4=0.015\;mol[/tex]

The available moles of ammonium phosphate is 0.015 mol.

According to Avogadro's law, the number of particles in the sample is given as:

[tex]\rm 1\;mol=6.023\;\times\;10^2^3\;particles\\\\0..015\;mol=\dfrac{6.023\;\times\;10^2^3\;particles}{1\;mol}\;\times\;0.015\;mol\\\\ 0.015\;mol=9.0345\;\times\;10^2^1\;particles[/tex]

The number of particles in 2.38 g ammonium phosphate are [tex]\rm \bold{9.0345\;\times\;10^2^1}[/tex].

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