How many grams of Methane are there in 1.23x10 to the 24 molecules?
Answer:
Methane is CH4
Atomic mass of C = 12g, H = 1g
Molar mass of CH4 = (1 x 12) + (4 x 1)
= 12 + 4
= 16g
Total mass = molar mass x No. of molecules
= 16g x 1.23 x 10^24
= 1.968 x 10^23g
Therefore the mass = 1.97 x10^23g
Methane has a molecular formula of CH4. So adding up the molecular weights of each atom:
12 (for carbon) + 1 + 1 + 1 + 1 = 16 g/mol (1 is for each H atom) is total number of grams per mol of methane.
Consider that Avogadro's number says that there are 6.022 *
10^23 atoms per mole of any substance. So to find the grams of methane in the number of molecules you are asking for, take (1.23*10^24/6.022*10^23)*16. It should give you the answer you are seeking.
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