Question-
The mass of an atom of oxygen is 16.0 u. express it in kg
2) the mass of a molecule of hydrogen is 3.332 ×10^-27 find the mass of 1 kg mol of hydrogen gas-
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Question-
The mass of an atom of oxygen is 16.0 u. express it in kg
2) the mass of a molecule of hydrogen is 3.332 ×10^-27 find the mass of 1 kg mol of hydrogen gas-
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[tex]\huge\sf\underline{\underline{\pink{ Answer:-}}}[/tex]
1. The mass of an atom of oxygen in kg is [tex] 2.656 \times 10^{-26} [/tex]
2. The mass of 1 kg mol if hydrogen gas is 2.0 kg.
[tex]\sf\underline{\underline{\green{EXPLANATION \: }}}[/tex]
[tex]\underline{\red{\tt{1) The \: mass \: of \: one \: atom \: of \: the \: element \: oxygen \: :}}}[/tex]
[tex]\sf\underline{\underline{\green{GIVEN \: }}}[/tex]
Mass of one atom of the element oxygen = 16.0 u (or a.m.u)
1 u (or a.m.u) is [tex]\frac{1}{2}th[/tex] the mass of one carbon-12 atom.
The mass of [tex] 6.02 \times 10^{23} [/tex] atoms if carbon - 12 is 12 kg.
[tex]\sf\underline{\underline{\green{SO, \: }}}[/tex]
1 u (or a.m.u) = [tex]\frac{1}{2} \times \frac{12}{6.02 \times 10^{26}}kg[/tex]
= [tex] 1.66 \times 10^{-27} kg [/tex]
Therefore,
1 u (or a.m.u) = [tex] 1.66 \times 10^{-27} kg [/tex]
[tex]\huge\underline\mathbb{\red S\pink {0} \purple {L} \blue {UT} \orange {1}\green {ON :}} [/tex]
Now,
The mass of one atom of oxygen
= [tex] 16.0 \times 1.66 \times 10^{-27} kg [/tex]
= [tex] 2.656 \times 10^{-26} kg [/tex]
Therefore, the mass of one atom of the element oxygen is [tex] \underline{2.656 \times 10^{-26} kg} [/tex]
[tex]\underline{\red{\tt{2) The \: mass \: of \: 1kg \: mol \: of \: hydrogen \: gas \: :}}}[/tex]
[tex]\sf\underline{\underline{\green{GIVEN \: }}}[/tex]
The Mass of one molecule of hydrogen = [tex] 3.332 \times 10^{-27}kg[/tex]
[tex]\huge\underline\mathbb{\red S\pink {0} \purple {L} \blue {UT} \orange {1}\green {ON :}} [/tex]
1 kg mol of the hydrogen gas will contain[tex] 6.02 \times 10^{26}[/tex] molecules of hydrogen
[tex]\sf\underline{\underline{\green{SO, \: }}}[/tex]
The mass of 1 kg mol if hydrogen gas = [tex] ( 6.02 \times 10^{26} ) \times 3.332 \times 10^{-27}kg[/tex]
= 2.0 kg
Therefore, the mass of 1 kg mol of hydrogen gas is 2.0 kg.
Answer:
2) kg mol of the hydrogen gas will contain6.02 \times 10^{26}6.02×1026 molecules of hydrogen
\sf\underline{\underline{\green{SO, \: }}}SO,
The mass of 1 kg mol if hydrogen gas = ( 6.02 \times 10^{26} ) \times 3.332 \times 10^{-27}kg(6.02×1026)×3.332×10−27kg
= 2.0 kg
Therefore, the mass of 1 kg mol of hydrogen gas is 2.0 kg.
Explanation:
hope it's helpful