Answer:
Mass = 27.2 g
Step-by-step explanation:
Given data:
Volume of gas = 22.7 L
Pressure of gas = 200.0 KPa (200/101=1.97 atm)
Temperature = 50.0°C
Mass of gas = ?
Solution:
The given problem will be solve by using general gas equation,
PV = nRT
P= Pressure
V = volume
n = number of moles
R = general gas constant = 0.0821 atm.L/ mol.K
T = temperature in kelvin
Now we will convert the temperature.
50+273 = 323K
1.97 atm ×22.7 L = n × 0.0821 atm.L/ mol.K × 323K
44.72 atm.L = n × 26.52 atm.L/ mol
n = 44.72 atm.L / 26.52 atm.L/ mol
n = 1.7 mol
Mass of CH₄:
Mass = number of moles × molar mass
Mass = 1.7 mol × 16 g/mol
Mass = 27.2 g