Air enters a 18cm diameter underwater duct at 50 °C at a volumetric flow rate of 0.180 m³/s. The air is cooled by the water outside and leaves at 15.5 °C. If the average heat transfer coefficient inside the pipe is 65 W/m²K and the tube temperature is constant at 10 °C, determine the steady rate of heat transfer to the air. Assume the density of air to be 1.281kg/m3 and its specific heat capacity is 1006J/kgK. ONW Oww.
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- Problem 8: Hot air balloons float because the air inside an inflatable compartment is heated. Consider such a balloon that has an inflatable compartment of maximum volume 1960 m3 and a basket with passengers of total mass 280 kg. Part (a) To what temperature, in Celsius degrees, would the air inside the balloon have to be heated in order for the balloon to lift off the ground? Assume the molar mass of air is 28.97 g/mol and its density is 1.20 kg/m3. Part (b) When the balloon reaches the highest point of its flight (around 2000 m), the air pressure has dropped to 80% of the pressure at ground level, and the density has dropped to 85% of the previous value. What temperature, in degrees Celsius, must the air in the balloon be to keep it floating at this altitude?Consider a wire with a cross-section A and a length L. The Young's modulus is given by: Y = LOF A ƏL T Where F = F(T, L) is the tension in the wire. The linear expansion coefficient is given by: απ 1/ǝL LOT F Give in expression for the change in tension in the wire with temperature in terms of the Young's modulus and the linear expansion coefficient if the wire is kept at a fixed length.You pour 998.00 cm3 of liquid mercury into a 1000.00 cm3-flask when both the mercury and the glass are at 4.0 ◦C. Determine the maximum temperature you can heat the system to (to the thousandth of a degree Celsius) before the mercury overflows. The mercury has a coefficient of volume expansion of 18.0 × 10−5◦C^−1 and the glass of the flask has a coefficient of volume expansion of 1.8 × 10−5◦C^ −1.
- Ice of mass 10.0 kg at 0.00° C is placed in an ice chest. The ice chest has 2.00 cm thick walls of thermal coductivity 1.00 x 10^-5 kcal/s-m-C° and a surface area of 1.30m^2. (a) How much heat must be absorbed by the ice before it melts? (b) If the outer surface of the ice chest is at 30.0° C, how long will it take for the ice to melt?A rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20 degrees celsius. An aluminum ring has a diameter of 0.1196 m at a temperature of 20 degrees celsius. The coefficients of thermal expansion for glass and aluminum are 9.0 x 10-6 1/K and 24.0 x 10-6 1/K, respectively. At what temperature will the aluminum ring be able to slip over the glass rod? Between 225 and 250 degrees celsius Between 175 and 200 degrees celsius Between 100 and 125 degrees celsius Higher than 300 degrees celsius Between 250 and 275 degrees celsius Between 125 and 150 degrees celsius Between 275 and 300 degrees celsius Between 150 and 200 degrees celsius O Between 200 and 225 degrees celsiusA steel rod 30.0 m long, installed when the temperature was 10°C, is in a bridge that heats up to 40oC on a hot summer day. Steel's coefficient of linear expansion is 1.2 × 10-5 K-1. The bridge is built so the rod has an expansion space of 5 cm. Is this enough space? What is the increase in the length of the rod, in mm?