This question is incomplete, the complete question is;
Argon gas (a monatomic gas) is sometimes used to insulate a double-pane window for purposes of insulation. In a particular window, the space in between two glass sheets has a volume of 0.025 m³.
If the temperature of the gas is 290 K . what is the rms speed of the gas atoms ?
The atomic mass of Argon is 39.9 u.
(1 u = 1.66 x 10⁻²⁷ kg) Enter your answer in m/s.
Enter your Answer in m/s
Answer: the rms speed of the gas atoms is 425.754 m/s
Explanation:
Given that;
mass of Argon = 39.9 u
and 1 u = 1.66 x 10⁻²⁷ kg
so 39.9 × 1.66 x 10⁻²⁷ kg = 6.6234 x 10⁻²⁶
Temperature T = 290 K
Now
V_rms = √( 3KT / M)
where Boltzmann's constant K = 1.38 × 10⁻²³ m²kg s⁻² K⁻¹
so we substitute
V_rms = √( 3 × 1.38 × 10⁻²³ × 290 / 6.6234 x 10⁻²⁶)
V_rms = √( 181266.419)
V_rms = 425.754 m/s
Therefore the rms speed of the gas atoms is 425.754 m/s
