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Help! What did I do wrong??
Solid sodium reacts violently with water, producing heat, hydrogen gas, and sodium hydroxide. How many molecules of hydrogen gas are formed when 48.7 g of sodium are added to water? Show your work. (4 points)

2Na + 2H2O ---> 2NaOH + H2


2Na + 2H2O ---> 2NaOH + H2

48.7 g ? molecules


2 mol Na= 1 mol H2

1 mol Na= 23g Na

1 mol H2= 6.02x1023 molecules


(48.7g Na/1)x(1 mol Na/23g Na)x(1 mol H2/2mol Na)x(6.02x1023/1 mol H2)


(48.7)(6.02x1023)/(23)(2)= 293.174x1023 molecules



Can someone please tell me what I did wrong?

Respuesta :

The molecules  of hydrogen gas that are  formed is  when 48.7 g  of sodium are added to water  is  6.375  x 10²³  molecules


  calculation

2 Na +2H₂O →  2 NaOH  +H₂

Step 1: find the moles  of sodium (Na)

moles =mass÷   molar mass

from periodic table the molar mass of Na = 23 g/mol

moles= 48.7 g÷ 23 g/mol =2.117 moles

Step 2:use the mole ratio to determine  the  moles of H₂

  from  given equation  Na:H₂ is 2:1

therefore the moles  of H₂ = 2.117 moles x 1/2=1.059 moles

Step 3: find the molecules of H₂ using the Avogadro's law

According  to  Avogadro's  law  1 mole = 6.02 x 10²³ molecules

                                                      1.059 moles = ?  molecules

by cross multiplication

= [(1.059 moles x 6.02 x10²³  molecules) /  1 mole] =6.375  x 10²³  molecules