Skip to main content
Ch.10 - Gases
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.10 - Gases문제 9c
10장, 문제 9c

Consider the following graph. (c) For each curve, which speed is highest: the most probable speed, the root-mean-square speed, or the average speed?

검증된 단계별 안내
1
insert step 1: Understand the three types of molecular speeds in a gas: the most probable speed (v_p), the average speed (v_avg), and the root-mean-square speed (v_rms).
insert step 2: Recall the relationships between these speeds: v_p < v_avg < v_rms for a given temperature.
insert step 3: Analyze the graph to identify the curves representing each of these speeds.
insert step 4: Compare the positions of the peaks and the spread of the curves to determine which speed is highest for each curve.
insert step 5: Conclude that the root-mean-square speed is typically the highest among the three speeds for each curve.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m
도움이 되었나요?

주요 개념

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

Most Probable Speed

The most probable speed is the speed at which the maximum number of particles in a gas sample are moving at a given temperature. It is derived from the Maxwell-Boltzmann distribution and represents the peak of the distribution curve, indicating the most common speed among the particles.
추천 영상:
가이드 코스
01:35
Most Probable Speed Example

Root-Mean-Square Speed

The root-mean-square (RMS) speed is a measure of the average speed of particles in a gas, calculated as the square root of the average of the squares of the speeds. It provides a way to quantify the kinetic energy of the gas particles and is always greater than or equal to the average speed.
추천 영상:
가이드 코스
01:05
Root Mean Square Speed Formula

Average Speed

The average speed of gas particles is calculated by taking the total distance traveled by all particles divided by the total time taken. It is a straightforward arithmetic mean and typically falls between the most probable speed and the root-mean-square speed, reflecting the overall motion of the gas.
추천 영상:
가이드 코스
00:36
Average Bond Order
관련 실천
교과서 질문

A thin glass tube 1 m long is filled with Ar gas at 101.3 kPa, and the ends are stoppered with cotton plugs as shown below. HCl gas is introduced at one end of the tube, and simultaneously NH3 gas is introduced at the other end. When the two gases diffuse through the cotton plugs down the tube and meet, a white ring appears due to the formation of NH4Cl1s2. At which location—a, b, or c—do you expect the ring to form?

688
views
1
rank
교과서 질문

Consider the following graph. (b) If A and B refer to the same gas at two different temperatures, which represents the higher temperature?

333
views
교과서 질문

Consider the following samples of gases:

If the three samples are all at the same temperature, rank them with respect to (c) density

431
views
교과서 질문

Consider the following samples of gases:

If the three samples are all at the same temperature, rank them with respect to (a) total pressure

783
views
교과서 질문

Consider the following graph. (a) If curves A and B refer to two different gases, He and O2, at the same temperature, which curve corresponds to He?

599
views