Question

1. Maxwell-Boltzmann Distribution a) [7pt] Write a code or use your software to plot Maxwell-Boltzmann distribution of H atoms at T = 5000 K and 20,000 K in a single plot. Note your x-axis is $v$, velocity, in the range of 0 to $4 \times 10^4$ m/s, and y-axis is $n_v/n$, the ratio of number of atoms with velocity of $v$ vs total number of atoms. Use \textit{blue} for T = 5000 K curve and \textit{red} for T = 20,000 K curve, (2pt) and also label your figure legend and axes. (5pt) Submit your code with your plot. b) [2pt] Describe how the peaks compare and the widths/shapes of the curves change for T = 5000 K and T = 20,000K. So in general, when temperature increases, what would you expect the velocity distribution of particles, in terms of the peak and the width, to change? c) [4pt] Find the most probable velocity and the RMS velocity for H atoms at 5000 K and 20,000 K. You can either write a code or simply use your calculator to find the answers.

          1. Maxwell-Boltzmann Distribution
a) [7pt] Write a code or use your software to plot Maxwell-Boltzmann distribution of H atoms at T = 5000 K and 20,000 K in a single plot. Note your x-axis is $v$, velocity, in the range of 0 to $4 \times 10^4$ m/s, and y-axis is $n_v/n$, the ratio of number of atoms with velocity of $v$ vs total number of atoms. Use \textit{blue} for T = 5000 K curve and \textit{red} for T = 20,000 K curve, (2pt) and also label your figure legend and axes. (5pt) Submit your code with your plot.
b) [2pt] Describe how the peaks compare and the widths/shapes of the curves change for T = 5000 K and T = 20,000K. So in general, when temperature increases, what would you expect the velocity distribution of particles, in terms of the peak and the width, to change?
c) [4pt] Find the most probable velocity and the RMS velocity for H atoms at 5000 K and 20,000 K. You can either write a code or simply use your calculator to find the answers.

1. Maxwell-Boltzmann Distribution
a) [7pt] Write a code or use your software to plot Maxwell-Boltzmann distribution of H atoms at T = 5000 K and 20,000 K in a single plot. Note your x-axis is v, velocity, in the range of 0 to 4 × 10^4 m/s, and y-axis is nv/n, the ratio of number of atoms with velocity of v vs total number of atoms. Use blue for T = 5000 K curve and red for T = 20,000 K curve, (2pt) and also label your figure legend and axes. (5pt) Submit your code with your plot.
b) [2pt] Describe how the peaks compare and the widths/shapes of the curves change for T = 5000 K and T = 20,000K. So in general, when temperature increases, what would you expect the velocity distribution of particles, in terms of the peak and the width, to change?
c) [4pt] Find the most probable velocity and the RMS velocity for H atoms at 5000 K and 20,000 K. You can either write a code or simply use your calculator to find the answers.

Added by Todd F.

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