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At some location and at some initial time the atmospheric pressure at sea level is 1000mb...

At some location and at some initial time the atmospheric pressure at sea level is 1000mb and the temperature between sea level and 900mb surface is 0°C. The atmosphere is in hydrostatic balance. (a) What is the height above sea level of the 900mb surface? (b) Over a period of one day the temperature of sea level and the 900mb surface rises from 0 to 3°C, but the height of the 900mb surface does not change. What is the new sea level pressure? (c) Give a very brief physical explanation for your answer to (b).

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