A flask is filled with 1.59 L (L = liter) of a liquid at 94.7 °C. When the liquid is cooled to 13.1 °C, its volume is only 1.38 L, however. Neglect the contraction of the flask. What is the coefficient of volume expansion of the liquid?

Suppose you have a large hot air balloon, open at the bottom but filled with air that is heated to 50 °C while the outside air is 10 °C.  What can you say about the air inside the balloon and how much it can lift?   The density of air is surprisingly high: 1.23 kg/m3, an average hot air balloon has a volume of 3000 m3 , and the acceleration of gravity is 9.8 m/s2.     The density is  higher by the factor (273 + 50)/(273+10) = 1.14 and therefore will not have a buoyant force and will not lift off the ground with any load.       The density is lower by the factor (273 + 10)/(273+50) = 0.88 and therefore will have a buoyant force of 0.88 times the weight of the air it replaced, or about 32,000 N.        The density is lower by the factor (273 + 10)/(273+50) = 0.88 and therefore will have a buoyant force of 0.12 times the weight of the air it replaced, or about 4300 N.        The density is the same but the pressure of the hot air is higher by (273 + 50)/(273+10) =…

A bicycle tire has a pressure of 6.80 ✕ 105 N/m2 at a temperature of 19.0°C and contains 2.30 L of gas. What will its pressure be (in Pa) if you let out an amount of air that has a volume of 120 cm3 at atmospheric pressure? Assume tire temperature and volume remain constant.  _________Pa

A steel rod and a bronze rod are heated. At zero degree Celsius, the steel rod has a Ls  and the bronze rod has a length of Lb. When the rods are heated or cooled, the difference between their length stays constant at 5.00 cm. Determine the values of Ls and Lb.

A hot air balloon uses the principle of buoyancy to create lift. By making the air inside the balloon less dense then the surrounding air, the balloon is able to lift objects many times its own weight. A large hot air balloon has a maximum balloon volume of 2090 m3. a.  If the air temperature in the balloon is 54 °C, how much additional mass, in kilograms, can the balloon lift? Assume the molar mass of air is 28.97 g/mol, the air density is 1.20 kg/m3, and the air pressure is 1 atm.

Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a)What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 24.8°C and rises to an altitude where its volume is sixteen times the original volume and its temperature is  −41.7°C?  (Enter your answer to at least 3 decimal places) _______________ atm   (b)What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.) ________________ atm