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Avogadros number relates the mass of a mole to the mass of a single unit. The number of molecules in a mole of a substance, approximately 6.0225 × 1023.
Use PV=nRT, where P=STP pressure of 1 ATM, V= volume, n=# of moles (1 here), R=ideal gas constant (0.082057 L*ATM/mol*K) which is always the same, and T =temp in Kelvins at STP= 273.15K
Solve for V:
V=nRT/P ; now just plug all the STP values in:
V = (1 mol)(0.082057 L*ATM/mol*K)(273.15K)/1 ATM = 22.41 L
6.0225 × 1023 / 22.41 L = 2.6874 × 1022 molecules of hydrogen in a liter at STP
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