Question

At what temperature will the oxygen molecules have the same root mean square speed as hydrogen molecules have at 100 kelvin

Answer 1

Hi there!
Here's the answer:

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Given,
Temperature of Hydrogen Molecule ($T_{0}$)= $100\: K$

Molecular weight of hydrogen ($M_{H}$)= 2
Molecular weight of 0xygen ($M_{0}$) = 32

We have,
RMS Velocity $V_{m} = \sqrt{\frac{3RT}{M}}$

RMS velocity of Hydrogen = $\sqrt{\frac{3RT_{0}}{M_{H}}}$

=$\sqrt{\frac{3R×10}{2}}$

RMS velocity of Oxygen $V_{O__{2}}$ =

$\sqrt{\frac{3RT_{0}}{M_{0}}}$

=$\sqrt{\frac{3RT_{0}}{32}}$

Given that the RMS velocities are equal,
$\implies V_{H__{2}}$ = $V_{O__{2}}$

$\implies \sqrt{\frac{3R×10}{2}} = \sqrt{\frac{3RT_{0}}{32}}$

$\implies \frac{10}{2} = \frac{T_{0}}{32}$

Cross Multiply

$\implies 2T_{0} = 320$

$\implies T_{0} = 160$


•°• Temperature of Oxygen = 160 K

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Answer 2

Answer:

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I am just aware of three uses of the rain gage:

- Generally, as the name itself recommends, a rain gauge (or "pluviometer") is an instrument that is utilized as a type of estimation. Consequently, the fundamental plan of this device does only that, measuring with the end goal of gathering information about falling precipitation.

- An extraordinary measuring precipitation gauge includes a turning drum, a pen, and a capacity canister. The capacity drum gathers any type of precipitation while the pen situated underneath the drum records its weight.

- A rain gauge is an essential instrument used in the investigation of the climate phenomenon also. Meteorologists and hydrologists utilize these instruments so they will have the capacity to look at and afterward gauge the correct level of precipitation or precipitation following a specific time period

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