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LiRa [457]
3 years ago
5

Air-bags can be inflated by the decomposition of sodium azide, NaN3. At 25.0◦C and 1.10 atm, what volume of N2(g) is produced by

the decomposition of 71.4 g NaN3 under the following chemical reaction: 2NaN3(s) → 2Na(l) + 3N2(g)
Chemistry
1 answer:
Mashcka [7]3 years ago
4 0

Answer:

V = 36.7L of N_{2}

Explanation:

1. Write the chemical reaction for the decomposition of sodium azide:

_{2}NaN_{3}(l)=_{2}Na(s)+_{3}N_{2}(g)

2. Find the number of moles of N_{2} produced by the decomposition of 71.4g of NaN_{3}:

71.4gNaN_{3}*\frac{1molNaN_{3}}{65gNaN_{3}}*\frac{3molesN_{2}}{2molesNaN_{3}}=1.65molesN_{2}

3. Use the ideal gas equation to find the Volume of N_{2} occupied by 1.65 moles of N_{2}, at the temperature and pressure given by the problem:

PV=nRT

Solving for V:

V=\frac{nRT}{P}

Converting the temperature from ◦C to K:

25◦C+273.15=298.15K

Replacing values:

V=\frac{1.65mol*(0.082\frac{atm.L}{mol.K})*298.15K}{1.10atm}

V=36.7L of N_{2}

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Practice Problem: True Stress and Strain A cylindrical specimen of a metal alloy 49.7 mm long and 9.72 mm in diameter is stresse
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Answer:

The true stress required = 379 MPa

Explanation:

True Stress is the ratio of the internal resistive force to the instantaneous cross-sectional area of the specimen. True Strain is the natural log to the extended length after which load applied to the original length. The cold working stress – strain curve relation is as follows,

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True strain is given  by

Epsilon t =㏑ (l/l₀)

Substitute㏑(l/l₀) for ε(t)

σ(t) = K(㏑(l/l₀))ⁿ

Given values l₀ = 49.7mm, l =51.7mm , n =0.2 , σ(t) =379Mpa

379 x 10⁶ = K (㏑(51.7/49.7))^0.2

K = 379 x 10⁶/(㏑(51.7/49.7))^0.2

K = 723.48 MPa

Knowing the constant value would be same as the same material is being used in the second test, we can find out the true stress using the above formula replacing the value of the constant.

σ(t) = K(㏑(l/l₀))ⁿ

l₀ = 49.7mm, l = 51.7mm, n = 0.2, K = 723.48Mpa

σ(t) = 723.48 x 106 x (㏑(51.7/49.7))^0.2

σ(t) = 379 MPa

The true stress necessary to plastically elongate the specimen is 379 MPa.

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