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 2160 m3 and a basket with passengers of total mass 370 kg. 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.

Large helium-filled balloons are used to lift scientific equipment to high altitudes. a) What is the pressure, in atmospheres, inside such a balloon if it starts out at sea level with a pressure of one atmosphere and a temperature of 10.0°C and rises to an altitude where its volume is twenty times the original volume and its temperature is -49.5°C ?  b) What is the gauge pressure, in atmospheres, in the balloon then? (Assume the atmospheric pressure is constant.)

A gas condensed in a cylinder with a nozzle is initially at p_1=2000 Pa, V_1= 2.0 l, and t_1=300 K. a) If the volume decreases to 0.50 L while the temperature remains low, what is the new pressure?b) If in a) the temperature increases to 400 K when the volume changes, what will be the new pressure?

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 hot air balloon holds 7.40 x 107 liters of gas. In order for the hot air balloon to rise into the sky, it must be heated to 120°C. Once the balloon is up in the air, the air needs to be cooled in order for the balloon to land. If the temperature of the balloon is decreased to 40.0°C, what will the new volume of the gas be? SOMEONE PLEASE HELP ME!!

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 certain amount of gas at 25.0°C and at a pressure of 0.650 atm is contained in a glass vessel. Suppose that the vessel can withstand a pressure of 2.00 atm. How high can you raise the temperature of the gas without bursting the vessel? In other words, at what temperature will the glass vessel shatter, in degrees Celsius.

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.