Respuesta :
Answer:
The new root mean square speed is 4 times the original root mean square speed.
Explanation:
The root mean square speed of the gas particle is given by formula:
[tex]v_{rms}=\sqrt{\frac{3\times R\times T}{M}[/tex]
R = Universal gas constant
T = temperature of the gas
M = Molar mass of gas in kilograms per mole
The root‑mean‑square speed of the molecules:
[tex]v_{rms}=\sqrt{\frac{3RT}{M}[/tex]
If the absolute temperature of a gas is quadrupled.
Temperature of the gas , T'= 4T
[tex]v_{rms}'=\sqrt{\frac{3\times R\times T'}{M}}=\sqrt{\frac{3\times R\times T4}{M}}=4\times v_{rms}[/tex]
[tex]v_{rms}'=4\times v_{rms}[/tex]
The new root mean square speed is 4 times the original root mean square speed.
Answer:
The new rms speed is 2 times the original rms speed.
Explanation:
The root‑mean‑square speed, rms, is related to temperature, , by the formula
[tex]_{rms}[/tex]= √3 / ℳ
For a given gas,
[tex]_{rms}[/tex] ∝ √
or
[tex]_{rms,2}[/tex] / [tex]_{rms,1}[/tex] = √[tex]_{2}[/tex] / [tex]_{1}[/tex]
In this case, is quadrupled.
√4 = 2
The new rms speed is 2 times the original rms speed.
