Answer :

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Avogadro's number represents the number of units in one mole of any substance. This has the value of 6.022 x 10^23 units / mole. This number can be used to convert the number of atoms or molecules into number of moles.

 
7.5 X10^23 molecules of H2SO4 ( 1 mol / 6.022x10^23 molecules ) (98.08 g / 1 mol ) = 122.15 grams H2SO4

Answer : The mass of [tex]H_2SO_4[/tex] are, 117.6 grams.

Explanation :

First we have to calculate the moles of [tex]H_2SO_4[/tex].

As, [tex]6.022\times 10^{23}[/tex] molecules of [tex]H_2SO_4[/tex] present in 1 mole of [tex]H_2SO_4[/tex]

So, [tex]7.5\times 10^{23}[/tex] molecules of [tex]H_2SO_4[/tex] present in [tex]\frac{7.5\times 10^{23}}{6.022\times 10^{23}}=1.2[/tex] mole of [tex]H_2SO_4[/tex]

Now we have to calculate the mass of [tex]H_2SO_4[/tex].

[tex]\text{Mass of }H_2SO_4=\text{Moles of }H_2SO_4\times \text{Molar mass of }H_2SO_4[/tex]

Molar mass of [tex]H_2SO_4[/tex] = 98 g/mole

[tex]\text{Mass of }H_2SO_4=1.2mole\times 98g/mole=117.6g[/tex]

Therefore, the mass of [tex]H_2SO_4[/tex] are 117.6 grams.

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