Answer:
2.68 Liters
Explanation:
ideal gas law
PV=NRT
to get the volume
rearrange the formula
V=nRT/P
R molar gas constant is in units joules per mole kelvin :
8.314 J/(mol K) (joules per mole kelvin)
T temperature part of this is in kelvin so you have to convert the Celsius temperature to kelvin
1 Celsius is 274.15 kelvin so
83.4 Celsius is 356.55 kelvin
P pressure is in Pascal or Pa units
so you have to convert atm into Pa
1 atm is 201636.8 Pa or Pascals so
1.99 atm is 201636.8 Pa
V volume will be in cubic meters or m^3
m^3 will need to changed to liters
1 cubic meter or m^3 is 1000 liters
n amount of substance is in moles
again the rearranged formula is
V=nRT/P
(0.182*8.314*356.55)/201636.8 =
0.00267566693 cubic meters or m^3
1 cubic meter or m^3 is 1000 liters so
0.00267566693 cubic meters or m^3 times 1000 =
2.67566693 liters