A container with volume 0.05 m² contains of a mixture of helium and argon gas in equilibrium at 180°C. Given that the molar mass of helium is 4.0 g/mol and molar mass of argon is 39.9 g/mol. Consider both gases as an ideal gas, (a) Solve the (i) average kinetic energy for each molecule. (ii) root mean square speed of each molecule. (iii) the fraction of argon molecules which the speed is in the range of 420-440 m/s. M Given P = 47 | Mv² 2e¯2RT dv \27RT. (b) Sketch Maxwell speed distribution curves to compare the distribution of speeds

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A container with volume 0.05 m² contains of a mixture of helium and argon gas in equilibrium
at 180°C. Given that the molar mass of helium is 4.0 g/mol and molar mass of argon is 39.9
g/mol. Consider both gases as an ideal gas,
(a) Solve the
(i)
average kinetic energy for each molecule.
(ii)
root mean square speed of each molecule.
(iii)
the fraction of argon molecules which the speed is in the range of
420-440 m/s.
M
Given P = 47 |
(2πRT,
Mv²
2e¯2RT dv
(b) Sketch Maxwell speed distribution curves to compare the distribution of speeds
of helium and argon molecules.
Transcribed Image Text:A container with volume 0.05 m² contains of a mixture of helium and argon gas in equilibrium at 180°C. Given that the molar mass of helium is 4.0 g/mol and molar mass of argon is 39.9 g/mol. Consider both gases as an ideal gas, (a) Solve the (i) average kinetic energy for each molecule. (ii) root mean square speed of each molecule. (iii) the fraction of argon molecules which the speed is in the range of 420-440 m/s. M Given P = 47 | (2πRT, Mv² 2e¯2RT dv (b) Sketch Maxwell speed distribution curves to compare the distribution of speeds of helium and argon molecules.
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