Welcome to the article An unknown gas has a root mean square velocity of 332 m s at 313 K Identify the unknown gas. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
To identify the unknown gas, we use the root mean square velocity formula and the given conditions to calculate its molar mass. The calculated molar mass resembles that of Hydrogen (H₂), indicating this could be the unknown gas.
The unknown gas has a root mean square velocity (rms) of 332 ms⁻¹ at 313 K. To identify this gas, we can use the formula Vrms = (3RT/M)^1/2, where:
- Vrms is the root mean square velocity.
- R is the ideal gas constant (8.3145 J/(K•mol)).
- T is the temperature in Kelvin.
- M is the molar mass of the gas in kilograms per mole.
To find the molar mass of the unknown gas, we rearrange the equation to M = (3RT/Vrms²), substitute the given values (R = 8.3145 J/(K•mol), T = 313 K, Vrms = 332 m/s), and solve for M.
Calculating this, M would be approximately 0.029 kg/mol, which is close to the molar mass of Hydrogen (H₂), suggesting that the unknown gas may indeed be Hydrogen.
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Rewritten by : Brahmana