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Ch.15 - Chemical Equilibrium
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145당신이 사용하는 게 아니라요?교과서 변경
15장, 문제 160

Ozone is unstable with respect to decomposition to ordi-nary oxygen: 2 O31g2 ∆ 3 O21g2 Kp = 1.3 * 1057 How many O3 molecules are present at equilibrium in 10 mil-lion cubic meters of air at 25 °C and 720 mm Hg pressure?

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1
Step 1: Convert the pressure from mm Hg to atmospheres. The conversion factor is 1 atm = 760 mm Hg.
Step 2: Use the ideal gas law, PV = nRT, to find the number of moles of gas present. In this case, P is the pressure in atmospheres, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/K·mol), and T is the temperature in Kelvin.
Step 3: Convert the volume from cubic meters to liters. The conversion factor is 1 m^3 = 1000 L.
Step 4: Convert the temperature from Celsius to Kelvin. The conversion is K = °C + 273.15.
Step 5: Use the equilibrium constant expression for the reaction, Kp = [O2]^3 / [O3]^2, to find the concentration of O3 at equilibrium. Remember that in this case, the concentrations are in terms of pressure, and the equilibrium constant Kp is given in the problem.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Equilibrium Constant (Kp)

The equilibrium constant (Kp) quantifies the ratio of the concentrations of products to reactants at equilibrium for a given reaction at a specific temperature. In this case, Kp = 1.3 x 10^57 indicates a strong tendency for the reaction to favor the formation of ordinary oxygen (O2) over ozone (O3), suggesting that at equilibrium, O3 will be present in very low concentrations compared to O2.
추천 영상:
가이드 코스
03:20
Equilibrium Constant Expressions

Ideal Gas Law

The Ideal Gas Law (PV = nRT) relates the pressure (P), volume (V), number of moles (n), the ideal gas constant (R), and temperature (T) of a gas. This law allows us to calculate the number of moles of gas present in a given volume and conditions, which is essential for determining the concentration of O3 in the specified volume of air at 25 °C and 720 mm Hg.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Stoichiometry

Stoichiometry involves the calculation of reactants and products in chemical reactions based on balanced equations. In this scenario, understanding the stoichiometric relationship between O3 and O2 is crucial for determining how many O3 molecules are present at equilibrium, as it allows us to apply the equilibrium constant to find the concentrations of the species involved.
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가이드 코스
01:16
Stoichiometry Concept
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