Answer:
5.7 grams is the mass carbon dioxide gas inside a 3.0-L balloon.
Explanation:
Using ideal gas equation:
PV = nRT
where,
P = Pressure of carbon dioxide gas = [tex]1.0 atm[/tex]
V = Volume of carbon dioxide gas = 3.0 L
n = number of moles of carbon dioxide gas = ?
R = Gas constant = 0.0821 L.atm/mol.K
T = Temperature of carbon dioxide gas =0°C = 0+273= 273 K
Putting values in above equation, we get:
[tex](1.0 atm)\times 3.0 L=n\times (0.0821L.atm/mol.K)\times 273 K\\\\n=0.13 mol[/tex]
Mass of 0.13 mole carbon dioxide gas :
= 0.13 mol × 44 g/mol = 5.7 g
5.7 grams is the mass carbon dioxide gas inside a 3.0-L balloon.