This figure shows the distribution of molecular speeds for a gases at 300 K. Which of these statements is true? Select all that apply.

Question

BlackTom AI · Accepted Answer

To analyze the statements, I’ll go option by option and connect them to the features of a Maxwell–Boltzmann speed distribution as shown in the figure.
Option 1: 'More than half of the particles are moving at speeds that are less than or equal to the most probable speed (the peak maximum).' In a right-skewed Maxwell–Boltzmann distribution, the peak corresponds to the most probable speed, but the area under the curve to the left of the peak is not greater than 0.5. The distribution is not symmetric, and the mean speed is greater than the most probable speed, so the fraction of particles with speeds less than or equal to the most probable speed is less than half. Therefore this statement is false.
Option 2: 'The number of particles that are moving at a given range of speeds is proportional to the area under the distribution curve.' This is a direct reflection of how a probability density function works: the fraction (or number) of particles with speeds in a given interval is given by the area under the curve over that speed interval. Thus this statement is true.
Option 3: 'This function that describes the distribution of molecular speeds is called a Maxwell–Boltzmann distribution.' Indeed, the curve shown is the Maxwell–Boltzmann distribution, which characterizes speeds in an ideal gas at a given temperature. This statement is true.
Option 4: 'The majority of the particles in the gas sample are moving at speeds greater than 2000 m/s.' The peak of the distribution is near around 1000–1500 m/s, and the tail to high speeds (above 2000 m/s) contains far fewer particles than the peak region. Therefore, the majority are not moving above 2000 m/s; this statement is false.

CHEM 110 Section 3 (PM) SP25 Pre-Lecture 25 Quiz C12-1-2

This figure shows the distribution of molecular speeds for a gases at 300 K. Which of these statements is true? Select all that apply.

View Explanation

Log in for full answers

Similar Questions

The Maxwell-Boltzmann distribution of molecular speeds in an ideal gas.

理想气体中分子速度的麦克斯韦-玻尔兹曼分布。

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

A product has a selling price of $20, a contribution margin ratio of 40% and fixed cost of $120,000. To make a profit of $30,000. The number of units that must be sold is: Type the number without $ and a comma. Eg: 20000

Which of the following statement regarding cost is correct:

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler