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1 February, 07:00

The escape velocity required for gas molecules to overcome the earth's gravity and go off to outer space is 1.12 * 10^3 m/s at 15 degrees Celsius. Calculate the molar mass of a species with that velocity. Would you expect He or H2 molecules in the earth's atmosphere? How about argon atoms?

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  1. 1 February, 08:34
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    The escape velocity required for gas molecules to overcome the Earth's gravity and go off to outer space is 1.12x10^3 m/s at 15 degrees Celcius.

    We need to calculate the rms or root mean speed of the gas. So, the velocity of the gas must be 1.12x10^3 m/s.

    v = √ ((3RT) / M)

    where R = gas constant

    T = temperature of the gas in Kelvin

    M = molar mass of the gas

    1.12x10^3 m/s = √ ((3*8.314 * (15+273)) / M)

    Solve for M
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