Answer:
[tex]V=3850.1769\;L[/tex]
Explanation:
Gas law is the mathematical relationship among pressure,volume, temperature, and the number of moles of a gas. It is the equation of state for an ideal gas. Which is because the state of a gas can be known by it pressure, volume, temperature, and number of moles.
Look below which "R" is a constant
[tex]PV=nRT[/tex]
[tex]n=8.47kg\times(\frac{1000g}{1kg})\times(\frac{1mol}{64.066g})[/tex]
[tex]n=132.2074\;mol[/tex]
[tex]V=\frac{nRT}{P}[/tex]
[tex]V=\frac{(132.2074\\;mol\times(8.314\frac{L\cdotkPa}{mol\cdotk)}\times(40+273.15)k}{89.4\;kPa}[/tex]
or (3.85 x 10^3 L)
[tex]V=3850.1769\;L[/tex]
~Lenvy~