After the large eruption of Mount St. Helens in 1980, gas samples from the volcano were taken by sampling the downwind gas plume. The unfiltered gas samples were passed over a gold coated wire coil to absorb mercury (Hg) present in the gas. The mercury was recovered from the coil by heating it and then analyzed. In one particular set of experiments scientists found a mercury vapor level of 1800 ng of Hg per cubic meter in the plume at a gas temperature of 10oC. Calculate
(a) The partial pressure of Hg vapor in the plume,
(b) The number of Hg atoms per cubic meter in the gas,
(c) The total mass of Hg emitted per day by the volcano if the daily plume volume was 1600km3.