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Question 4: (answer in place of item 17)
2 moles of Sodium Azide (NaN,) produces about 3 moles of Nitrogen (N,) in a car's airbag.
How many moles of NaN, are needed to fill a 65 L airbag? Assume the gas is produced at a temperature of 30 °C and 2.5 atm.

1 answer

To solve this problem, we need to use the ideal gas law equation, which is:

PV = nRT

Where:
P is the pressure in atm (2.5 atm),
V is the volume in liters (65 L),
n is the number of moles of gas we want to find,
R is the ideal gas constant (0.0821 L.atm/mol.K), and
T is the temperature in Kelvin (30°C + 273 = 303 K).

Rearranging the equation to solve for n, we have:

n = PV / RT

n = (2.5 atm) * (65 L) / (0.0821 L.atm/mol.K * 303 K)
n ≈ 59.93 moles

Therefore, approximately 60 moles of NaN3 are needed to fill a 65 L airbag.
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