Question

What would be the mass of gas inside a 3.0-L balloon at 0 degrees Celsius and 1.0 atm filled with carbon dioxide gas? *

Answer 1

5.7 grams is the mass carbon dioxide gas inside a 3.0-L balloon.

Step-by-step explanation:

Using ideal gas equation:

PV = nRT

where,

P = Pressure of carbon dioxide gas =
`1.0 atm`

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:

`(1.0 atm)* 3.0 L=n* (0.0821L.atm/mol.K)* 273 K\\\\n=0.13 mol`

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.