EPS 7 Lecture Notes - Lecture 27: Hot Air Balloon, Ideal Gas Law, Exponential Growth
21 Jul 2018
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It is an okay approximation for rough estimates as long as nx <1. 1. 03^8 = (1+0. 03)^8 = 1 + 8x (0. 03) = 1. 24 actual answer: 1. 27. 1. 01^6 = 1 + 6x0. 01 = 1. 06 actual answer: 1. 06. Pv* is a function of temperature only. Pv* increases exponentially with temperature by 7% per degree k. Recall that relative humidity is defined as rh = pv/pv* Water vapor in the air pv = rhpv* pv* 1. 07^t. Saying something grows at fraction x per year is the same as saying that is proportional to (1 +x)^year. Saying something grows at fraction x per kelvin is the same as saying that is proportional to (1 +x)^t. 1. 07^3 = 1. 21(the air holds roughly 20% more) Rising cloud same as rising hot air balloon. Hot air balloon rises by the flame inside, and. Hot to get maximum energy from rising buoyantly. Storm cloud: do not allow any entrainment of dry air.
