How many grams are there in 9.40 x 10^25 molecules of H2? with prove so i could understand how you got it. if you can thank you

Respuesta :

Convert amount of molecules into moles using Avogadro’s number

9.40 x 10^25 molecules H2 x 1 mole / 6.02 x 10^23 molecules

= 156 moles H2

Convert moles of H2 into grams using H2’s molar mass (1.01 x 2 = 2.02)

156 mol H2 x 2.02 g / 1 mol
= 315 g H2

Taking into account the definition of avogadro's number, there are 312.14 grams in 9.40×10²⁵ molecules of H₂.

Avogadro's Number

Avogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.

Mass in 9.40×10²⁵ molecules of H₂

Then you can apply the following rule of three: if 6.023×10²³ molecules are contained in 1 mole of H₂, then 9.40×10²⁵ molecules are contained in how many moles of H₂?

amount of moles of H₂= (9.40×10²⁵ atoms × 1 mole)÷ 6.023×10²³ atoms

amount of moles of H₂= 156.07 moles

On the other hand, molar mass is the amount of mass that a substance contains in one mole. In this case, the molar mass of H₂ is 2 [tex]\frac{g}{mole} [/tex].

Then the mass that 156.07 mole of compound contains is calculated as:

156.07 moles×2 [tex]\frac{g}{mole} [/tex]= 312.14 grams

Finally, there are 312.14 grams in 9.40×10²⁵ molecules of H₂.

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