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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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Read 2 more answers
Compound X has a molar mass of 135.13 and the following composition: element mass % carbon 44.44% hydrogen 3.73% nitrogen 51.83%
geniusboy [140]

Hello!

First, let's see what a molar mass is. A molar mass is how much a mole weighs, or how much 6.02214076×10²³ of an element weighs.

Now, let's find the molar mass of each of these three elements.

Carbon: 12.0107 g/mol

Hydrogen: 1.00784 g/mol

Nitrogen: 14.0067 g/mol

Now, see how much of the molar mass of compound x each of these contributes.

Carbon: 44.44% * 135.13 = 60.051772 g/mol

Hydrogen: 3.73% * 135.13 = 5.040349 g/mol

Nitrogen: 51.83% * 135.13 = 70.037879 g/mol

Finally, calculate how many atoms there are in the molecule. Do this my dividing the "how much they contribute to the molar mass" by the molar mass.

Carbon: 60.051772 / 12.0107 = 5

Hydrogen: 5.040349 / 1.00784 = 5

Nitrogen: 70.037879 / 14.0067 = 5

Therefore, we know that there are 5 Carbons, 5 hydrogens, and 5 nitrogens.

Put this all together to get the molecular formula: C5H5N5 (note that the numbers should be written as subscript)

Hope this helps!

7 0
3 years ago
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