Respuesta :
We need a basis of 100 g mg2p2o7. We need to determine the amount of p2o5 from the amount given. We do as follows:
mass p2O5 = 100 g mg2p2o7 ( 1 mol / 364.4978 g ) ( 1 mol P2O5 / 1 mol Mg2P2O7 ) ( 283.89 g / mol ) = 77.89 g P2O5
Percent = 77.89 / 100 x 100 = 77.89%
Hope this helps. Have a nice day.
mass p2O5 = 100 g mg2p2o7 ( 1 mol / 364.4978 g ) ( 1 mol P2O5 / 1 mol Mg2P2O7 ) ( 283.89 g / mol ) = 77.89 g P2O5
Percent = 77.89 / 100 x 100 = 77.89%
Hope this helps. Have a nice day.
The percentage of [tex]{{\text{P}}_{\text{2}}}{{\text{O}}_5}[/tex] in [tex]{\text{M}}{{\text{g}}_{\text{2}}}{{\text{P}}_{\text{2}}}{{\text{O}}_{\text{7}}}[/tex]is [tex]\boxed{63.78{\text{\%}}}[/tex].
Further explanation:
Molar mass:
The molar mass of a compound is the summation of masses of all atoms or molecule present in the 1 mole of compound. In other words, Molar mass of a compound is the ratio of mass of compound in grams to the number of moles present of that compound. The S.I unit of molar mass is gram per mol or g/mol.
Step 1: The molar mass of [tex]{\text{M}}{{\text{g}}_{\text{2}}}{{\text{P}}_{\text{2}}}{{\text{O}}_{\text{7}}}[/tex] is calculated as follows:
[tex]{\text{Molar mass of}}{\mathbf{}}{\text{M}}{{\text{g}}_{\text{2}}}{{\text{P}}_&{\text{2}}}{{\text{O}}_{\text{7}}}&=\left[\begin{aligned}&{\text{2}}\left({{\text{Atomic mass of Mg}}}\right)+\hfill\\&{\text{2}}\left({{\text{Atomic mass of P}}}\right)+\hfill\\&{\text{7}}\left({{\text{Atomic mass of O}}}\right)\hfill\\\end{aligned}\right][/tex] …… (1)
The atomic mass of Mg is 24.305 g.
The atomic mass of P is 30.974 g.
The atomic mass of O is 16 g.
Substitute these values in equation (1).
[tex]\begin{aligned}{\text{Molar mass of}}{\mathbf{}}{\text{M}}{{\text{g}}_{\text{2}}}{{\text{P}}_{\text{2}}}{{\text{O}}_{\text{7}}}&=\left[{{\text{2}}\left({{\text{24}}{\text{.305 g}}}\right)+{\text{2}}\left({{\text{30}}{\text{.974 g}}}\right)+{\text{7}}\left({{\text{16 g}}}\right)}\right]\\&=\left[{{\text{48}}{\text{.61 g}}+{\text{61}}{\text{.948 g}}+{\text{112 g}}}\right]\\&=222.558\;{\text{g/mol}}\\\end{aligned}[/tex]
Step 2: The molar mass of [tex]{{\text{P}}_{\text{2}}}{{\text{O}}_5}[/tex] is calculated as follows:
[tex]{\text{Molar mass of}}{\mathbf{}}{{\text{P}}_{\text{2}}}{{\text{O}}_5}=\left[\begin{aligned}&{\text{2}}\left({{\text{Atomic mass of P}}}\right)+\hfill\\&{\text{5}}\left({{\text{Atomic mass of O}}}\right)\hfill\\\end{aligned}\right][/tex] …… (2)
The atomic mass of P is 30.974 g.
The atomic mass of O is 16 g.
Substitute these values in equation (2).
[tex]\begin{aligned}{\text{Molar mass of}}{\mathbf{}}{{\text{P}}_{\text{2}}}{{\text{O}}_5}&=\left[{{\text{2}}\left({{\text{30}}{\text{.974 g}}}\right)+{\text{5}}\left({{\text{16 g}}}\right)}\right]\\&=\left[{{\text{61}}{\text{.948 g}}+80{\text{ g}}}\right]\\&=141.948\;{\text{g/mol}}\\\end{aligned}[/tex]
The reaction of formation of [tex]{\text{M}}{{\text{g}}_{\text{2}}}{{\text{P}}_{\text{2}}}{{\text{O}}_{\text{7}}}[/tex]is as follows:
[tex]{\text{2MgO}}+{{\text{P}}_{\text{2}}}{{\text{O}}_5}\to{\text{M}}{{\text{g}}_{\text{2}}}{{\text{P}}_{\text{2}}}{{\text{O}}_{\text{7}}}[/tex]
The percentage of [tex]{{\mathbf{P}}_{\mathbf{2}}}{{\mathbf{O}}_{\mathbf{5}}}[/tex]in[tex]{\mathbf{M}}{{\mathbf{g}}_{\mathbf{2}}}{{\mathbf{P}}_{\mathbf{2}}}{{\mathbf{O}}_{\mathbf{7}}}[/tex]can be calculated as follows:
[tex]\begin{aligned}{\text{Percent of }}{{\text{P}}_{\text{2}}}{{\text{O}}_5}\left(\%\right)&=\frac{{{\text{Mass of 1 mole }}{{\text{P}}_{\text{2}}}{{\text{O}}_5}}}{{{\text{Mass of 1 mole M}}{{\text{g}}_2}{{\text{P}}_{\text{2}}}{{\text{O}}_7}}}\times100\\&=\frac{{141.948{\text{ g}}}}{{222.558{\text{ g}}}}\times100\\&=63.78{\text{}}\%\\\end{aligned}[/tex]
Learn more:
1. Calculate the moles of ions in the solution: https://brainly.com/question/5950133
2. Calculate the moles of chlorine in 8 moles of carbon tetrachloride: https://brainly.com/question/3064603
Answer details:
Grade: Senior School
Subject: Chemistry
Chapter: Mole concept
Keywords: Percentage, p2o5, mg2p2o7, molar mass of a p2o5, molar mass of a mg2p2o7, gram per mol, Mg, O, P, 63.78 %, atomic mass of Mg, atomic mass of P is 30.974 g, atomic mass of O is 16 g.