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ANSWER

[tex]\text{ The mass of H}_2SO_4\text{ is 5.6886 }\times\text{ 10}^{58}\text{ grams}[/tex]

EXPLANATION

Given that;

[tex]\text{ The number of molecules of 3.49 }\times\text{ 10}^{80}\text{ }[/tex]

Follow the steps below to find the grams of H2SO4

Step 1; Find the number of moles of H2SO4 using the below formula

[tex]\text{ mole }=\text{ }\frac{\text{ Number of molecules}}{\text{ Avgadro's number }}[/tex]

Recall, that Avogadro's number is 6.02 x 10^23

[tex]\begin{gathered} \text{ mole = }\frac{\text{ 3.49}\times\text{ 10}^{80}}{6.02\text{ }\times\text{ 10}^{23}} \\ \\ \text{ mole = }\frac{3.49}{6.02}\times\text{ 10}^{80\text{ - 23}} \\ \text{ mole = 0.58 }\times\text{ 10}^{57} \\ \text{ mole = 5.8 }\times\text{ 10}^{56}\text{ moles} \end{gathered}[/tex]

Step 2; Find the mass of H2SO4 using the formula below

[tex]\begin{gathered} \text{ mole = }\frac{\text{ mass}}{\text{ molar mass}} \\ \text{ cross multiply} \\ \text{ mass = mole }\times\text{ molar mass} \end{gathered}[/tex]

Recall, that the molar mass of 98.079 g/mol

[tex]\begin{gathered} \text{ mass = 5.8 }\times\text{ 10}^{56}\times\text{ 98.079} \\ \text{ Mass = 5.8 }\times\text{ 98.079 }\times\text{ 10}^{56} \\ \text{ Mass = 568.86 }\times\text{ 10}^{56} \\ \text{ Mass = 5.6886 }\times\text{ 10}^{58}\text{ grams} \end{gathered}[/tex]

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