Answer:
A) The number of moles of Carbon dioxide in 2.0 L bottle of soda = 0.325 mole
B) The mass of Carbon dioxide in 2.0 L bottle of soda = 14.3 g
Explanation:
Complete Question
Soda are made fizzy by the carbon dioxide (CO₂) dissolved int he liquid. An amount of carbon dioxide equal to about 8.0 L of carbon dioxide gas at atmospheric pressure and 300.0 K can be dissolved can be dissolved in a 2-L bottle of soda. The molar mass of CO₂ IS 44 g/mol.
A) How many moles of carbon dioxode are in the 2-L? (1L = 0.001 m³)
B) What is the mass of the carbon dioxide in the 2-L bottle of soda?
Solution
Assuming that CO₂ is an ideal gas.
A) The amount of carbon dioxide in 2.0 L of soda bottle is equal to the amount of Carbon dioxide in about 8.0 L of carbon dioxide gas at atmospheric pressure and 300.0 K
From the ideal gas equation, we know that
PV = nRT
P = pressure of the gas = atmospheric pressure = 101,325 Pa
V = volume of the gas = 8.0 L = 0.008 m³
n = number of moles of the ideal gas = ?
R = molar gas constant = 8.314 J/mol.K
T = absolute temperature of the gas in Kelvin = 300 K
101325 × 0.008 = n × 8.314 × 300
n = (101325×0.008) ÷ (8.314 × 300)
n = 0.324993986 = 0.325 mole of Carbon dioxide.
B) The mass of Carbon dioxide in 2.0 L bottle of soda
Mass = (Number of moles) × (Molar mass)
= 0.325 × 44.0
= 14.3 g
Hope this Helps!!!
