The airbag is the car works using the Ideal gas law. When an airbag is inflated, the nitrogen gas has a pressure of 23.011 atm, a temperature of 39.00 degreeC, and a volume of 78.00 mL. What is the number of moles of the nitrogen gas? (R = 0.08206 L.atm/K.mol)
7101.00 moles
56812 moles
0.56 moles
0.070 moles
0.56 moles
To find the number of moles of nitrogen gas using the Ideal Gas Law, we can use the formula:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in L)
n = number of moles
R = ideal gas constant (0.08206 L.atm/K.mol)
T = temperature (in Kelvin)
First, we need to convert the temperature from degrees Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 39.00 °C + 273.15 = 312.15 K
Now, we can plug in the values and solve for n:
23.011 atm * 0.07800 L = n * 0.08206 L.atm/K.mol * 312.15 K
1.793758 atm*L = 0.08206 L.atm/K.mol * 312.15 K * n
n = (1.793758 atm*L) / (0.08206 L.atm/K.mol * 312.15 K)
n = 0.070 mol
Therefore, the number of moles of nitrogen gas is 0.070 moles.