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Calculate the root mean square (rms) average speed of the atoms in a sample of krypton gas at 0.14 atm and -16 0C.

Respuesta :

dsdrajlin

Answer:

8.52 m/s

Explanation:

Step 1: Given data

  • Molar mass of krypton (M): 83.80 g/mol
  • Pressure of the sample (P): 0.14 atm
  • Temperature of the sample (T): -16 °C

Step 2: Convert "T" to the Kelvin scale

When working with gases, we need to consider the absolute temperature. We will convert from Celsius to Kelvin using the following expression.

K = °C + 273.15 = -16 + 273.15 = 257 K

Step 3: Calculate the root mean square speed of the gas

The root mean square speed measures the average speed of particles in a gas. We will calculate it using the following expression.

[tex]v_{rms} = \sqrt{\frac{3 \times R \times T}{M} } = \sqrt{\frac{3 \times 8.314 J/mol.K \times 257 K}{88.30 g/mol} } = 8.52 m/s[/tex]

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