Aspartame is an artificial sweetener that is 160 times sweeter than sucrose (table sugar) when dissolved in water. It is marketed as NutraSweet. The molecular formula for aspartame is C14H18N2O5. a) Calculate the molar mass of for 2 moles of aspartame. b) How many moles of molecules are present in 35.0 g of aspartame? c) Calculate the mass in grams of 4.56 mol of aspartame. d) How many molecules are in 4.0 ng of aspartame? e) How many atoms of oxygen are in 2.2 g of aspartame? f) What is the mass in grams of 1.0 x 10^32 molecules of aspartame? g) What is the mass in grams of three molecules of aspartame?
Aspartame is an artificial sweetener that is 160 times sweeter than sucrose (table sugar) when dissolved in water. It is marketed as NutraSweet. The molecular formula for aspartame is C14H18N2O5. a) Calculate the molar mass of for 2 moles of aspartame. b) How many moles of molecules are present in 35.0 g of aspartame? c) Calculate the mass in grams of 4.56 mol of aspartame. d) How many molecules are in 4.0 ng of aspartame? e) How many atoms of oxygen are in 2.2 g of aspartame? f) What is the mass in grams of 1.0 x 10^32 molecules of aspartame? g) What is the mass in grams of three molecules of aspartame?
a)The molecular formula for Aspartame is C14H18N2O5
one mole is equal to one moles of aspartame or 294.30312 grams.
2moles of aspartame to grams=2*294.30312=588.60624 grams.
b) moles of molecules 35 g of aspartame and using formula is
n=m/Mr
n(aspartame)=35g/294.34g/mol
n(aspartame)=0.118mol
c) 4.56 mol of aspartame using the formula is
m=nxMr
n(aspartame)=4.56 mol X294.34g/mol
n(aspartame)=1342.19grams.
d)given mass 4mg to moles of aspartame and Avogadro substance 6.022x1023
4mg(1g/103 mg)(1mol/294.30g)=1.69x10-5 mol aspartame
1.69x10-5 mol(6.022x1023 molecules/1mol)=1x1019 molecules aspartame
g)mass in grams of three molecules of aspartame
n=moleculexmol/molecule
n(aspartame)=3 moleculesx1mole/6.02x1023 molecules
n(aspartame)=4.98x10-24 mol
mass of aspartame using M(aspartame)=294.34g/mol
m=molxM/mol
n(aspartame)=4.98x10-24 mol x294.34g/1mole
n(aspartame)=1.46x10-22 g
f) mass in grams 1.0x1032 molecules
=1.0x1032X1mol/6.022x1023X294.34g/1mol
=48.88x1011 grams.
e) mass of aspartame =294.34g/mol of aspartame
2.2/294.34=0.0074 mol aspartame
1 mole atoms=6.022x1023 atoms
0.0074 molx5 mol oxygen atoms/1mol aspartame x6.022x1023 atoms oxygen/1 mol O atoms)=2.0x1022 atoms of oxygen.
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