A. A student places 2.10 L of water in his dormitory room, which has the volume

Question

A. A student places 2.10 L of water in his dormitory room, which has the volume of 4.06 x10^4 L. He seals the room and waits for the water to evaporate. At 25 deg C, the density of water is 0.997 g/mL, and is vapor pressure is 23.8 mmHg. will all the water evaporate at 25 deg C? assume the intial humidity in the room is 0&. (hint: how much water must evaporate in order to exert a pressure of 23.8 mmHg in a volume of 4.06 x10^4 L at 25 deg C) B. How much water will remain in liquid form, if any?

Explanation / Answer

amount of H2O in saturated are at 25°C.... PV = nRT n = PV/RT n = (23.8mmHg x 1atm/760mmHg) x (4.06x10^4L) / [(0.08206 Latm/moleK) x (298K)] n = 51.99 moles H2O moles of water in 2.1L... 2.1L x (1000 mL / 1L) x (0.997g / mL) x (1 mole / 18.02g) = 116.19 moles

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