Question

A parcel of air is being forced up the windward side of a 7,000-foot-high mountain. The parcel has a temperature of 91.0°F at 0 feet in elevation. If the LCL is located at 5,000 feet, what is the temperature of this parcel of air at 1,000 feet?

Answer 1

Answer:

Temperature of parcel at 1000 ft is 85.5°F

Explanation:

Temperature of parcel at 0 ft =T₁ = 91.0°F

Dry adiabatic rate = 5.5°F/100 ft

Temperature of parcel at H₂ (1000 ft) = T₂ =?

Height of LCL = 5000 ft

As (1000<5000), so using the formula for parcel below or at the LCL i.e.

                        $T_{2}=T_{1}-\Delta T$

                        $\Delta T =H_{2}\times DAR$

                        $\Delta T=1000(\frac{5.5}{1000})$

                        $\Delta T= 5.5^{o}$

                        $T_{2}=91.0-5.5$

                        $T_{2}=85.5^{o}F$