1. Suppose an unsaturated air parcel starts at sea level with a temperature of 10° C and rises to the lifting condensation level at 1 km. The parcel continues to rise at the saturated adiabatic lapse rate of 0.5° C/100 m to a mountain peak at an elevation of 4 km. What is the temperature of the parcel at the peak?
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- The Trans-Alaskan pipeline is 1 300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperatures ranging from 73C to +35C. (a) How much does the steel pipeline expand due to the difference in temperature? (b) How can one compensate for this expansion?5. Rubbing your hands together warms them by converting work into thermal energy. If a woman rubs her hands back and forth for a total of 20 rubs, at a distance of 7.50 cm per rub, and with an average frictional force of 40.0 N, what is the temperature increase? The mass of tissues warmed is only o.10o kg, mostly in the palms and fingers.8. IP A constant-volume gas thermometer has a pressure of 80.3 kPa at -10.0 °C and a pressure of 86.4 kPa at 10.0 °C. (a) At what temperature does the pressure of this system extrapolate to zero? (b) What are the pressures of the gas at the freezing and boiling points of water? (c) In general terms, how would your answers to parts (a) and (b) change if a different constant- volume gas thermometer is used? Explain.
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- 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'd1. The heat transfer from a 2-m diameter sphere to a 25 deg. Celsius air stream over a period of time interval of 1 hour is 3,000 kJ. Estimate the surface temperature of the sphere if the heat transfer coefficient is 10 W/m?-K. (CONVECTION) 2. A plane wall is 2 meter high by 3 meter wide and is 2 cm thick. It is made of 0.50 W/m-K. A temperature difference of 60 K is imposed on the two large faces. Find the heat flux in Watts/m². (CONDUCTION)16. What is the amount of heat required to melt 100 g of ice completely at -10°C? (5) (a) 6048 cal _(b) 4680 cal (c) 8640 cal (d) 8064 cal 17 A 21 container holds 3 moles of N. at 323 K What is the pressure of the gas inside the container?