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The complete question is as follows: I want to make a homemade cake recipe you need 100 grams of sugar, calculate the moles to which it is equivalent and the number of molecules of sucrose.
Answer: In 100 grams of sugar there are 0.292 moles and the number of molecules of sucrose are [tex]1.76 \times 10^{23}[/tex].
Explanation:
Given: Mass = 100 g
Molar mass of sugar = 342.3 g/mol
As number of moles is the mass of substance divided by its molar mass.
Hence, moles of sucrose are calculated as follows.
[tex]Moles = \frac{mass}{molar mass}\\= \frac{100 g}{342.3 g/mol}\\= 0.292 mol[/tex]
According to mole concept, 1 mole of every substance contains [tex]6.022 \times 10^{23}[/tex] molecules.
Hence, the number of molecules present in 0.292 mol are calculated as follows.
[tex]0.292 mol \times 6.022 \times 10^{23}\\= 1.76 \times 10^{23}[/tex]
Thus, we can conclude that in 100 grams of sugar there are 0.292 moles and the number of molecules of sucrose are [tex]1.76 \times 10^{23}[/tex].
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