マインドマップギャラリー 気体の運動理論
これは、気体の状態方程式、理想気体の圧力と温度の式、マクスウェルの速度分布など、気体の運動論に関するマインド マップです。
2024-04-06 19:01:26 に編集されましたThis template, created with EdrawMind, provides a structured workflow for weekly coordination meetings focused on MEP (Mechanical, Electrical, Plumbing) pipeline layout. It follows a four-stage cycle: starting with Issue Identification (Clash Detection) to detect pipeline conflicts, moving to Meeting Agenda preparation to define discussion topics, then On-site Discussion to review and resolve issues on the construction site, and finally Resolution & Update to document solutions and track progress. This template can be reused to standardize MEP coordination processes, ensuring clear communication, efficient problem-solving, and smooth construction progress.
This template, created with EdrawMind, outlines a quarterly checklist for preparing materials for green building certification. It is divided into four sequential quarters: Q1 focuses on Basic Material Preparation, including collecting project approval documents and compiling self-assessment reports; Q2 covers Technical Data Improvement, such as organizing energy consumption calculation books and preparing green construction proof materials; Q3 involves On-site Inspection Preparation, including organizing construction process materials and verifying certification standards; and Q4 is for Formal Application, which includes completing online reporting and cooperating with expert on-site reviews. This template can be reused to systematically prepare for green building certification, ensuring all requirements are met and the process is efficient.
This template, created with EdrawMind, provides a comprehensive framework for daily monitoring of deep foundation pit construction. It covers six key monitoring areas: Retaining Wall Top Displacement, Settlement of Surrounding Buildings, Groundwater Level, Pit Bottom Heave, Support Axial Force, and Data Summary & Analysis. Each section specifies monitoring points, frequency, and warning values to ensure safety. The template can be reused to standardize monitoring practices, track structural stability, and trigger immediate alarms if warning thresholds are exceeded, thus mitigating risks during foundation pit construction.
This template, created with EdrawMind, provides a structured workflow for weekly coordination meetings focused on MEP (Mechanical, Electrical, Plumbing) pipeline layout. It follows a four-stage cycle: starting with Issue Identification (Clash Detection) to detect pipeline conflicts, moving to Meeting Agenda preparation to define discussion topics, then On-site Discussion to review and resolve issues on the construction site, and finally Resolution & Update to document solutions and track progress. This template can be reused to standardize MEP coordination processes, ensuring clear communication, efficient problem-solving, and smooth construction progress.
This template, created with EdrawMind, outlines a quarterly checklist for preparing materials for green building certification. It is divided into four sequential quarters: Q1 focuses on Basic Material Preparation, including collecting project approval documents and compiling self-assessment reports; Q2 covers Technical Data Improvement, such as organizing energy consumption calculation books and preparing green construction proof materials; Q3 involves On-site Inspection Preparation, including organizing construction process materials and verifying certification standards; and Q4 is for Formal Application, which includes completing online reporting and cooperating with expert on-site reviews. This template can be reused to systematically prepare for green building certification, ensuring all requirements are met and the process is efficient.
This template, created with EdrawMind, provides a comprehensive framework for daily monitoring of deep foundation pit construction. It covers six key monitoring areas: Retaining Wall Top Displacement, Settlement of Surrounding Buildings, Groundwater Level, Pit Bottom Heave, Support Axial Force, and Data Summary & Analysis. Each section specifies monitoring points, frequency, and warning values to ensure safety. The template can be reused to standardize monitoring practices, track structural stability, and trigger immediate alarms if warning thresholds are exceeded, thus mitigating risks during foundation pit construction.
気体の運動理論
気体の状態方程式
平衡準静的プロセス
状態パラメータ: システムの状態を記述するために使用される物理量
ガス体積 V
圧力p
温度 t または T
平衡状態:系の巨視的な性質が外界の影響を受けず、時間の経過とともに変化しない状態。
準静的プロセス: 気体の状態は非常にゆっくりと変化し、中間状態は平衡状態に近いものに限定されません。
理想気体の状態方程式
理想気体:密度が高すぎず、圧力が高すぎず(大気圧と比較して)、温度が低すぎず(室温と比較して)
状態方程式: pV=(m/M)RT
数密度 n: 単位体積あたりの分子の数
ρ=nm n=N/V
理想的なガス圧力と温度の式
1 秒以内に分子は 10 回、10 回衝突します。衝突には 10 回から 10 秒を引いた時間がかかります。
平均並進運動エネルギー = (3/2)kT
温度が高い場合、気体の平均並進運動エネルギーは大きくなります
p=nkT ;p=(2/3)nEk;p=nmv₁²=(1/3)nmv²
二乗平均平方根速度=(3kT/m)1/2=(3RT/M)1/2
等分配定理 理想気体の内部エネルギー
単一原子には 3 つの自由度があり、2 原子分子には 5 つの自由度があり、3 つ以上の原子を含む多原子分子には 6 つの自由度があります。
気体分子が i 個の自由度を持つ場合、各分子の平均総運動エネルギー = (i/2)kT
エネルギー等価定理: 温度 T の平衡状態では、気体分子の任意の自由度の平均運動エネルギーと平均並進運動エネルギーは kT/2 に等しい
質量 m (モル質量 M) の理想気体の内部エネルギーは E=(m/M)(i/2)RT です。
ある量の理想気体の内部エネルギーは、気体の分子運動の自由度 i と熱力学的温度 T によって完全に決まり、気体の体積や圧力とは何の関係もありません。
マクスウェル率分布
マクスウェルのレート分布関数
最確速度 VP=(2kT/m)1/2=(2RT/M)1/2=1.41(RT/M)1/2
平均レート=(8kT/πm)1/2=(8RT/πM)1/2=1.60(RT/M)1/2
二乗平均平方根速度=(3kT/m)1/2=(3RT/M)1/2=1.73(RT/M)1/2
分子の衝突と平均自由行程
平均衝突頻度: 1 秒間に分子と他の分子が衝突する平均回数
平均自由行程: 2 つの連続した衝突の間で分子が自由に移動する平均距離
温度が一定の場合、圧力が小さくなるほど平均自由行程は長くなります。