The scale height of an atmosphere is a measure of how tightly a planet holds onto its atmospheric gases. this is a very useful concept because it balances the atmosphere's thermal energy of expansion against gravity's compression. as a rule of thumb, planets with larger scale heights struggle more to hold onto their atmospheres than planets with smaller scale heights. the scale height of an atmosphere can be computed as h = kt/g where k is a measure of the energy density of the atmosphere (which depends upon the average molecular mass of the atmosphere) expressed in units of j/kg k, t is the planet's surface temperature in units of k, and g is the gravitational acceleration at the planet's surface in units of m/s2. (note that when the calculation is performed in these units, the resultant scale height is measured in meters. often, we find it more convenient to convert the scale height into units of kilometers.) venus has an energy density k = 191.7 j/kg k, a surface temperature t = 750 k and a surface gravitational acceleration g = 8.87 m/s2. what is the scale height of venus in units of kilometers?