354.5 g of chlorine gas (MW = 70.9 g/mol) is held in a vessel with a fixed volume of 70. L.


What is the pressure of the gas in atmospheres if it's temperature is 30.0°C?


___ atm

Respuesta :

Answer:

1.77 atm

Explanation:

We have to check the values that gives the problem:

V= 70 L

mass =354.5 g

Molas weight= 70.9 g/mol

T=30 ºC

P= ?

We can find the moles of chlorine if we use the molar weight:

[tex]354.5g~\frac{1~mol}{70.9~g}[/tex]

[tex]5~mol[/tex]

Now, we have the moles, volume, temperature therefore we can use the ideal gas equation:

[tex]P*V=n*R*T[/tex]

We know the R value:

[tex]0.082\frac{atm*L}{mol*K}[/tex]

We have “K” units for the temperature, so we need to do the conversion:

[tex]30+273.15=303.15~K[/tex]

With all the data we can plug the values into the equation:

[tex]P*70L=5mol*303.15K*0.082\frac{atm*L}{mol*K} [/tex]

[tex]P=\frac{5mol*303.15K*0.082\frac{atm*L}{mol*K}}{70L}[/tex]

[tex]P=1.77~atm [/tex]

I hope it helps!

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