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Naddika [18.5K]
2 years ago
8

Filling Air Bags Automobile air bags produce nitrogen gas from the reaction:

Chemistry
1 answer:
Alja [10]2 years ago
8 0

(a) The work done by the nitrogen against external pressure is 126.66 J.

(b) The change in the internal energy of the system is -2,466.66 J.

The given parameters:

  • <em>Mass of the compound, = 2.25 g</em>
  • <em>External pressure, P = 1.0 atm = 101325 Pa</em>
  • <em>Density of Nitrogen gas, ρ = 1.165 g/L</em>
  • <em>Temperature of the Nitrogen gas, T = 20⁰C</em>

<em />

The molar mass of the given compound is calculated as follows;

NaN₃ = 23+ (14 x 3) = 65 g/mol

65 g -------------- 42

2.25 g ------------- ?

= \frac{2.25 \times 42}{65} \\\\= 1.45 \ g

The volume of the nitrogen gas is calculated as follows;

\rho = \frac{m}{V} \\\\V = \frac{m}{\rho} \\\\V = \frac{1.45}{1.165} \\\\V = 1.25 \ L

V = 0.00125 \ m^3

The work done by the nitrogen against external pressure is calculated as follows;

W = PV\\\\W = 101325 \times 0.00125\\\\W = 126.66 \ J

The change in the internal energy of the system is calculated by applying first law of thermodynamics as follows;

\Delta E = Q - W\\\\\Delta E = (-2,340) - (126.66)\\\\\Delta E = -2,466.66 \ J

Learn more about first law of thermodynamics here: brainly.com/question/2965070

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