Welcome to Bytelearn!

Let’s check out your problem:

$$v=\sqrt{\frac{3 R T}{M}}$$$\newline$The root-mean-square speed is the measure of the speed of particles in a gas. Root-mean-square speed, $v$, can be calculated using the equation shown, where $M$ is the molar mass of a gas, $R$ is the molar gas constant, and $T$ is the temperature. Which of the following equations correctly expresses the molar mass of a gas in terms of root-mean-square speed, temperature, and the molar gas constant?$\newline$Choose $1$ answer:$\newline$(A) $M=\left(\frac{3 R T}{v}\right)^{2}$$\newline$(B) $M=\frac{3 R T}{(v)^{2}}$$\newline$(C) $M=\frac{(v)^{2}}{3 R T}$$\newline$(D) $M=\frac{\sqrt{3 R T}}{v}$