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Sagot :
Answer:
[tex]V=795.26L[/tex]
Explanation:
From the question we are told that:
Volume [tex]V=1dm^3=>1L[/tex]
Density [tex]\rho=70.8g/L[/tex]
Generally the equation for Density is mathematically given by
[tex]\rho =\frac{Mass}{Volume}[/tex]
Therefore
[tex]M=\rho*V[/tex]
[tex]M=70.8*1[/tex]
[tex]M=70.8g[/tex]
Since at STP
[tex]T=273K[/tex]
[tex]P=1atm[/tex]
[tex]Mass =70.8g[/tex]
Therefore
[tex]Moles\ of\ Hydrogen=\frac{Mass}{2g}[/tex]
[tex]Moles\ of\ Hydrogen=\frac{70.8}{2g}[/tex]
[tex]Moles\ of\ Hydrogen=35.4moles[/tex]
Generally the equation for Ideal gas is mathematically given by
[tex]PV=nRT[/tex]
Therefore
[tex]V=\frac{nRT}{P}[/tex]
[tex]V=\frac{35.4*0.0826*273}{1}[/tex]
[tex]V=795.3L[/tex]
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