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Chapter 1 - Electric Current, Ohms Law and Kirchhoffs Laws
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Chapter 2 - Magnetic Effects of Electric Current and Measuring Instruments
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0/24Chapter 4 - Alternating Current AC Circuits
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Text lesson
Explanation – Lesson 1 – Boyle, Charles, Pressure Laws and General Gas Law
Explanation – Lesson 1 – Boyle, Charles, Pressure Laws and General Gas Law
الشرح والتفصيل العلمي الشامل
الشرح والتفصيل العلمي الشامل
- ◄ 1. Boyle’s Law, Charles’s Law, Gay-Lussac’s Law, and General Gas Law
- The macroscopic state of a fixed mass of an ideal gas is governed by three variables: Pressure (P), Volume (V), and Absolute Temperature on the Kelvin scale (T(K) = t(°C) + 273).
- At Absolute Zero (0 K = -273.15 °C), the theoretical volume and pressure of an ideal gas vanish.
- Combining the three experimental gas laws yields the General Gas Law: (P1 V1)/T1 = (P2 V2)/T2 = nR, where Standard Temperature and Pressure (STP) corresponds to T = 273 K (0 °C) and P = 1 atm = 76 cmHg = 1.013 x 105 Pa.
- Boyle’s Law (Isothermal, T = const) P is inversely proportional to V => P1 V1 = P2 V2.
| Comparison aspect | Main idea | Keywords |
|---|---|---|
| Charles’s Law (Isobaric, P = const) | V is directly proportional to T(K) => V1 / T1 = V2 / T2 | directlyproportional |
| Pressure / Gay-Lussac’s Law (Isochoric, V = const) | P is directly proportional to T(K) => P1 / T1 = P2 / T2 | directlyproportional |
| قانون وعلاقة حاكمة |
| FigureLawsBoyleCharles |
| • | 🧮 Exemplary Step-by-Step Worked Problems & Applied Exercises | ExemplaryStepWorkedProblems |
| Worked Example 1 | Worked Example 1 | |
| Problem Statement |
| bubblevolumebottomlake |
Detailed Solution & Derivation→At the bottom: P1 = Pa + rho*g*h = 1.013×105 + 1000*9.8*20.66 = 3.038×105 Pa = 3 atm, V1 = 2 cm3, T1 = 7 + 273 = 280 K.
- At the surface P2 = 1 atm, T2 = 27 + 273 = 300 K.
- By General Gas Law (3 * 2)/280 = (1 * V2)/300 => V2 = 1800 / 280 = 6.43 cm3.
- Worked Example 2 Worked Example 2
- Problem Statement A sealed cylinder contains gas at 27 °C and 2 atm pressure. To what Celsius temperature must it be heated at constant volume so its pressure becomes 5 atm?
- Detailed Solution & Derivation T1 = 27 + 273 = 300 K. Using P1/T1 = P2/T2 => 2/300 = 5/T2 => T2 = 750 K => t2 = 750 – 273 = 477 °C.
- Real gases stop following the gas laws at extremely low temperatures, because they condense into liquids and sometimes solids.
- Temperature on the Kelvin scale never takes negative values, whereas Celsius readings can be either positive or negative.
- Zero degrees Celsius corresponds to 273 K, and 100 °C corresponds to 373 K on the absolute scale.
- Molecules of a gas keep moving randomly and continuously, striking one another and the inner surfaces of the vessel enclosing them.
- Small empty spaces, called intermolecular spaces, separate the molecules of a gas from one another.
- At constant pressure, a gas’s volume rises by one 273rd of its volume at 0 °C for each Celsius degree of temperature increase.
- At constant volume, a gas’s pressure rises by one 273rd of its pressure at 0 °C for each Celsius degree increase in temperature.
- The coefficient of volume increase at constant pressure and the coefficient of pressure increase at constant volume are equal, and both have the same value for every gas.
- Merging Boyle’s and Charles’s relations shows that volume grows with absolute temperature and falls as pressure rises.
| Comparison aspect | Main idea | Keywords |
|---|---|---|
| قانون وعلاقة حاكمة |
| ComprehensiveExplanationLessonBoyle |
| قانون وعلاقة حاكمة | Physics – Secondary Stage (English Section – Egyptian Curriculum 2026-2027) | 2026 / 2027 | 2026 / 2027 | Chapter 2: Gas Laws and Kinetic Theory of Gases | PhysicsSecondaryStageEnglish |
| قانون وعلاقة حاكمة |
| GoverningScientificLawsTheorems |
| ★ Boyle’s Law | [ Formula: P1 V1 = P2 V2 (at constant T) ] Boyle’s Law | Formulaconstant |
| ★ Charles’s Law | [ Formula: V1 / T1 = V2 / T2 (at constant P) ] Charles’s Law | Formulaconstant |
| ★ General Gas Law | [ Formula: (P1 V1) / T1 = (P2 V2) / T2 = P1 / (rho_1 T1) ] General Gas Law | Formula |
| • | 📌 Exhaustive In-Depth Pedagogical Breakdown | ExhaustiveDepthPedagogicalBreakdown |
Explanation – Lesson 1 – Boyle, Charles, Pressure Laws and General Gas Law · 3 / 6
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