2NaN3(s) ⟶ 2Na(s) + 3N2(g)
This reaction produces nitrogen to inflate airbags in cars. Sodium Azide (NaN3) produces Nitrogen (N2) very quickly in a crash.How many moles of NaN3 are needed to fill a 65 L airbag? Assume the gas is produced at a temperature of 30 °C.
Please Just fill in the blank spots below.
P= 1 atm
V= 65 L
N= ____?
R=_____?
T= _____ k?
P = 1 atm
V = 65 L
N = ? (unknown number of moles)
R = ? (ideal gas constant)
T = ? k (temperature in Kelvin)
To find the number of moles (N), we can use the Ideal Gas Law equation:
PV = nRT
where
P is the pressure in atm,
V is the volume in liters,
n is the number of moles,
R is the ideal gas constant (0.0821 L atm/mol K),
and T is the temperature in Kelvin.
First, let's convert the temperature from Celsius to Kelvin:
T = 30 °C + 273.15 = 303.15 K
Now, we can rearrange the Ideal Gas Law equation to solve for n:
n = PV / RT
Substituting the given values:
n = (1 atm)(65 L) / (0.0821 L atm/mol K)(303.15 K)
Calculating the result:
n = 2.70 moles
Therefore, 2.70 moles of NaN3 are needed to fill a 65 L airbag.