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.

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

类似问题

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。

Question at position 8 An excess of growth hormone (GH) before puberty can result in the development ofgigantism.Graves' disease.acromegaly.pituitary dwarfism.Clear my selection

Question at position 6 The most abundant supporting cells in the central nervous system are called Question Blank 1 of 1[input].

Question at position 5 In the eye, the lens functions tofocus light on the retina at the back of the eye.protect the surface of the eye.increase vision in low-light conditions.move the eye side to side.Clear my selection

Question at position 4 Olfactory (odor) receptors are chemoreceptors. TrueFalse

If the pKa of HCHO2 is 3.74 and the pH of an HCHO2/NaCHO2 solution is 3.00, which of the following is TRUE?

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单