Complete the temperature of an air parcel as it ascends and descents as given below. Assume the temperature at Okm altitude (sea level on windward side is 6°C; the condensation level of the air parcel is at 400m (0.4km); dry adiabatic lapse rate of 10°C/km, wet or saturated adiabatic lapse rate is 6°C/km. Altitude 1.4 2.4 3.4 3.5 2.5 1.5 0. 0.4 (km) T(°C)
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- HW1. Due: 02/08/2024. 1. The density of dry air at p = 1.0 bar and T =300 K is 1.161 kg/m³. Assuming it consists entirely of N₂ and O₂ and using the ideal gas law, determine the amount of each gas in moles in a volume of 1 m³ and their mole fractions. 2. (a) Calculate the amount of gas in moles per cubic meter of atmosphere at p = 1 atm and T = 298 K using the ideal gas equation. (b) The atmospheric content of CO₂ is about 360 ppmv (parts per million by volume). Assuming a pressure of 1.00 atm, estimate the amount of CO₂ in a 10.0 km layer of the atmosphere at the surface of the earth. The radius of the earth is 6370 km. (The actual amount of CO₂ in the atmosphere is about 6.0 x 1015 mol.) 3. The van der Waals parameter b is a measure of the volume excluded due to the finite size of the molecules. Estimate the size of a single molecule from the data given below. STATES OF MATTER AND THE VAN DER WAALS EQUATION Table 1.1 Van der Waals constants a and b and critical constants T.. p, and V…At what temperature does water vapor condense at the pressure of an atmosphere?Question 1 During a 30-minute period under clear skies, 2.0 x 10 J of total solar energy were incident upon Bunche Hall. Use this information on energy and time to complete the following tasks. Calculate the mean incident radiant flux over that 30-minute period. What are the units for the previous answer for Radiant Flux Kelvin Meters Microns J/s^2 J/s Watts W/m^2 Nanometers W/m Joules Fahrenheit Celsius
- A tank of water has been outdoors in cold weather, and a slab of ice 5.7 cm thick has formed on its surface (see the figure). The air above the ice is at -12°C. Calculate the rate of formation of ice (in centimeters per hour) on the ice slab. Take the thermal conductivity of ice to be 0.0040 cal/s-cm-Co, its density to be 0.92 g/cm³, and its latent heat of fusion to be 333 kJ/kg. Assume no energy transfer through the tank walls or bottom. Air Ice Water Number UnitsIf air temperature is 7 5 degrees at sea level, what is the temperature at the top of Pike's Peak ( elevation 1 4 , 0 0 0 ft ) ?Imagine 2 locations, a snowy one, and a warm one. Both locations have a water vapor amount of 7 g/kg in the air. Which location is more humid percent-wise and why?
- 3. The dry adiabatic lapse rate, I'd≈1 K/100 m, and the moist (or saturated) adiabatic lapse rate, I'm depends on moisture content, but is approximated by I'm ≈ 0.5 K/100 m in the lower troposphere. (a) If a parcel has 50% relative humidity, what rate will it cool as it rises? (b) If a parcel has 100% relative humidity, what rate will it cool as it rises? I'm? (c) Why is I'dThe temperature of the air in thermals decreases about 10°C for each 1,000 m they rise. If a thermal leaves the ground with a temperature of 35°C and a relative humidity of 77 percent, at what altitude will the air become saturated and the water vapor begin to condense to form a cloud? (In other words, at what altitude does the temperature equal the dew point?)__________ m