2. Assume that a parcel of air coming off the Pacific Ocean is forced to rise from sea level up Mt. Olympus (elevation about 2500 meters) on the Olympic Peninsula of Washington State. Assume that at sea level, the parcel has a temperature of 160C and a dewpoint of 100C and is thus unsaturated. Further assume that the environmental (air outside the parcel) temperature at the top of Mt. Olympus is 00C. 2a. How high will the parcel have to rise to reach the LCL i.e. the height that condensation and a cloud would from? Assume the dewpoint remains constant as the parcel ascends. (Hint: at what elevation will temperature cool to the dewpoint). 2b. Now lift the parcel from the LCL all the way up to the top of the mountain. What will its temperature be at the top of the mountain (rounded to the nearest degree)? For simplicity, use 60C/km. as the moist adiabatic lapse rate. 2c. Once the parcel is at the top of the mountain, will it be positively or negatively buoyant? Assume that the environmental (air outside the parcel) temperature at the top of Mt. Olympus is 00C. Will it continue to rise or not? 2d. Assume the parcel, now unsaturated, descends into Puget Sound, east of Mt. Olympus and west of Seattle (essentially sea level again). What will the parcel’s temperature be once it arrives at Puget Sound? (Remember that a sinking unsaturated parcel will warm at the same rate that a rising unsaturated parcel cools: 100C/km.) Is the parcel’s final temperature the same as its initial temperature? If not, why not?