446_01c_test2

446_01c_test2 - METR 446 Test # 2 October 16, 2001 Name: _...

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METR 446 Test # 2 Name: _______________________________ October 16, 2001 1) (30 pts) If a spherical ice crystal and a spherical liquid drop with the same radius are in a cloud with a supersaturation with respect to water of 0.3% and a temperature of –20 o C, how much faster will the ice crystal grow due to condensation? You can neglect the impact of curvature on equilibrium vapor pressure, and the impact of condensational heating at the crystal and drop surface.
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2) (15 pts) If the average number density of ions between the ground and the ionosphere is 3000 cm -3 , and they have an average electrical mobility of 7x10 -4 m 2 V -1 s -1 , how many lightning flashes must be occurring around the world every second to maintain the 400 kV potential difference between the ionosphere and the ground. Assume the potential gradient (dV/dZ) is constant up to the ionosphere, and also assume that 20 C of charge is transferred with each lightning flash.
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3) (35 pts) If a 20 µ m droplet is growing twice as fast due to condensation as it is due to collisions
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446_01c_test2 - METR 446 Test # 2 October 16, 2001 Name: _...

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