Chemistry

Problem

Scientists want to determine if a newly discovered exoplanet can retain an atmosphere of Nitrogen gas (Molar mass

= 28\,\text{g/mol}

) at a surface temperature of

1000\,\text{K}

. The planet has escape velocity

v_{e} = 2.0\,\text{km/s}

. Given that a gas escapes significantly if

v_{\text{rms}} > v_{e}/6

, determine if the atmosphere is retained. (

R_{\text{gas}} = 8.31\,\text{J}/(\text{mol}\cdot\text{K})

)