(a) Calculate the percent relative humidity on a day when the temperature is 25.0ºC and the air contains 9.40 g of water vapor per m3 . (b) At what temperature will this air reach 100% relative humidity (the saturation density)? This temperature is the dew point. (c) What is the humidity when the air temperature is 25.0ºC and the dew point is – 10.0ºC ?
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(a) Calculate the percent relative humidity on a day when the temperature is 25.0ºC and the air contains 9.40 g of water vapor per m3 . (b) At what temperature will this air reach 100% relative humidity (the saturation density)? This temperature is the dew point. (c) What is the humidity when the air temperature is 25.0ºC and the dew point is – 10.0ºC ?
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- (1) Hydrostatic balance states Op Əz Equation -1 where p is pressure, z is altitude, p is density and g is the acceleration due to gravity. It can be shown that the reciprocal of hydrostatic balance also applies. That is Equation -2 дz Әр = -Pg, = 1 pg Use the ideal gas law (p = pRT, where R is the gas constant for dry air and Tis temperature) to eliminate p from (2). (2) Under geostrophic balance, the following balance is approximately satisfied Equation -3 fu=-g ¹ (3) where f is the Coriolis parameter, u is the zonal wind, y is meridional distance and z is altitude. (Note that the derivative on the right hand side is taken at constant pressure.) Differentiate (3) with respect to p, and use your expression from part 1 to obtain an expression relating du/ap and T/ay. This expression is called "thermal wind balance".The summit of a mountain is 3240 m higher than a point in the foothills. Assume that the atmospheric lapse rate in this area is the same as the global average of -6.5°C/km. What is the temperature of the summit when eager hikers depart from the foothill location at a temperature of 28°C?Large helium-filled balloons are used to lift scientific equipment to high altitudes. a) What is the pressure, in atmospheres, inside such a balloon if it starts out at sea level with a pressure of one atmosphere and a temperature of 10.0°C and rises to an altitude where its volume is twenty times the original volume and its temperature is -49.5°C ? b) What is the gauge pressure, in atmospheres, in the balloon then? (Assume the atmospheric pressure is constant.)
- Calculate the depth (in km) to which Avogadro's number of table tennis balls would cover the Sun. Each ball has a diameter of 3.75 cm. Assume the space between balls adds an extra 39.6% to their volume and assume they are not crushed by their own weight. kmGg.196. Please help me .....The first real length standard, adopted more than 200 years ago, was a platinum bar with two very fine marks separated by what was defined to be exactly one meter. If this standard bar was to be accurate to within +1.0 µm, how carefully would the trustees have needed to control the temperature? The coefficient of linear expansion is 9 × 10-6/C°.
- An apartment has the dimensions 16 m by 8 m by 5 m. The temperature is 30°C, and the relative humidity is 51 percent. What is the total mass (in kg) of water vapor in the air in the apartment?During rainy days, you like to fix yourself a mug of hot choco. Being an "O.C." you like to prepare 250mL of this delicious drink at precisely 90 degree Celsius plus you always add enough milk at 5 degree Celsius to drop the temperature of the choco to 85 degree celcius. What is the amount of milk (in mL) that you need to add to reach this temperature? (Assume that the mug is insulated from surroundings, the specific capacity of the choco and milk is 4.18 J/g degree Celsius, and their densities is 1.0 g/mL).What is the density of water vapor in g/m3on a hot dry day in the desert when the temperature is 40.0ºC and the relative humidity is 6.00%?
- 2. (a) Derive an expression for the density p that results when an air parcel initially at pressure p, and density p, expands adiabatically to pressure p. [~ Holton 2.6] (b) An air parcel that has a temperature of 20°C at the 1000-hPa level is lifted dry adiabatically. What is its density when it reaches the 500-hPa level? [~ Holton 2.7]The gas constant R has the value 287 J/Kg * K for dry air. Using the ideal gas law (P = PanyRT): a) Find the density of dry air at 72.05 "F with a pressure of 1095 mb. b.) Find the density of molst air at the same pressure and temperature if the relative humidity is 60%. HINT: (for o) stick with Si units (for b) Find e, given T(see lecture slides). Find e given RH. Find pos from: P 0.378e 0.378e Pmoist 1 or Pmoist = Pary RT P