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Tems11 [23]
3 years ago
11

Consider 3.01*10^24 molecules of oxygen (atomic mass is 16.0 g/mole) in a container at a temperature of 22.0 degrees celsius. If

this gas can be considered as an ideal gas, calculate: 1.The Average translational kinetic energy of the gas. 2.The average translational kinetic energy per molecule 3. The root mean square speed of a gas molecule. 4. The most probable speed of the gas molecules.
Chemistry
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

See explanation

Explanation:

The tranlational energy of a molecule is obtained by; ET =3/2 kT

T is the temperature while k is the Boltzmann constant (k)

The Boltzmann constant (kB) relates temperature to energy.

Substituting values;

ET = 3/2 (1.3807 × 10−23 joule/K) * (22 + 273)K

ET = 6.11 * 10^-21 J

The average translational kinetic energy per molecule=  6.11 * 10^-21 J/ 3.01*10^24 molecules = 2.03 * 10^-45 J per molecule

<u>vrms = √</u>3RT/M

vrms = √3 * 8.314 * 295/32

vrms = 15.2 m/s

Most probable speed =  √2RT/M

Most probable speed = √2 * 8.314 * 295/32

Most probable speed = 12.38 m/s

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2Mg + O2 → 2MgO<br><br> If you are burning 5.8332 g of Mg, how many grams of MgO will this make?
LekaFEV [45]
<h3>Answer:</h3>

9.6724 g MgO

<h3>General Formulas and Concepts:</h3>

<u>Math</u>

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Chemistry</u>

<u>Stoichiometry</u>

  • Reading a Periodic Table
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<h3>Explanation:</h3>

<u>Step 1: Define</u>

[RxN - Balanced] 2Mg + O₂ → 2MgO

[Given] 5.8332 g Mg

<u>Step 2: Identify Conversions</u>

[RxN] 2 mol Mg = 2 mol MgO

Molar Mass of Mg - 24.31 g/mol

Molar Mass of O - 16.00 g/mol

Molar Mass of MgO - 24.31 + 16.00 = 40.31 g/mol

<u>Step 3: Stoichiometry</u>

  1. Set up:                              \displaystyle 5.8332 \ g \ Mg(\frac{1 \ mol \ Mg}{24.31 \ g \ Mg})(\frac{2 \ mol \ MgO}{2 \ mol \ Mg})(\frac{40.31 \ g \ MgO}{1 \ mol \ MgO})
  2. Multiply/Divide:                                                                                               \displaystyle 9.67241 \ g \ MgO

<u>Step 4: Check</u>

<em>Follow sig fig rules and round. We are given 5 sig figs.</em>

9.67241 g MgO ≈ 9.6724 g MgO

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The equilibrium constant, Kc, for the following reaction is 1.29E-2 at 600 K. COCl2(g) CO(g) Cl2(g) Calculate the equilibrium co
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Answer:

At Equilibrium

[COCl₂] = 0.226 M

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[Cl₂] = 0.054 M

Explanation:

Given that;

equilibrium constant Kc = 1.29 × 10⁻² at 600k

the equilibrium concentrations of reactant and products = ?

when 0.280 moles of COCl2(g) are introduced into a 1.00 L vessel at 600 K. [COCl²]

Concentration of  COCl₂ = 0.280 / 1.00 = 0.280 M

COCl₂(g) ---------->  CO(g)   +  Cl₂(g)

0.280                      0                0  ------------ Initial

-x                             x                 x

(0.280 - x)               x                 x   ----------- equilibrium

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x² + 0.0129x - 0.003612 = 0

x = -b±√(b² - 4ac) / 2a

we substitute

x = [-(0.0129)±√((0.0129)² - 4×1×(-0.003612))] / [2 × 1 ]

x = [-0.0129 ± √( 0.00017 + 0.01445)] / 2

x = [-0.0129 ± 0.1209] / 2

Acceptable value of x =[ -0.0129 + 0.1209] / 2

x = 0.108 / 2

x = 0.054

At equilibrium

[COCl₂] = (0.280 - x) = 0.280 - 0.054 = 0.226 M

[CO] = 0.054 M

[Cl₂] = 0.054 M

7 0
3 years ago
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