Question #4013a

2 Answers
Sep 15, 2015

3,0115xx10^(26)3,0115×1026

Explanation:

Number of moles of hydrogen present is n=m/(Mr)=(1000g)/(2g//mol)=500 moln=mMr=1000g2g/mol=500mol
Note that the molar mass of hydrogen is 2g/mol since it is diatomic in nature.
Hence, to find number of molecules present, we must multiply the number of moles by the Avogadro constant which is the number of particles per mole.
ie nxxN_A = 500xx6,023xx10^(23)=3,0115xx10^(26) n×NA=500×6,023×1023=3,0115×1026

Sep 15, 2015

3.011 xx 10^(26)3.011×1026 molecules

Explanation:

To figure out the number of molecules of hydrogen in 1.0 kg of hydrogen gas we need first to find the number of mole (nn), then:

"no. of molecules" = "no. of moles" xx "Avogadro's number"no. of molecules=no. of moles×Avogadro's number

the number of mole n = (m)/"MM"mMM, where MM is the molar mass which is equal to 2.0 g/mol. And m = 1 kg = 1000 g.

Therefore,

n = (1000)/"2.0" = "500 mol" = 5.0 xx 10^2 "mol"n=10002.0=500 mol=5.0×102mol

Therefore,

"no. of molecules" = 5.0 xx 10^2 cancel("mol") xx 6.022 xx 10^(23)"molecules"/cancel("mol")

"no. of molecules" = 3.011 xx 10^(26) "molecules"