In a hot air balloon launch, it was known that the material used in the construction amounts to 200kg and that the loading capacity of the cage was 250kg. If the hot air balloon has to travel in air where the ambient temperature and pressure was 25 degrees C and 101.325kPaa, determine the minimum diameter (meters) of the balloon (assume to be spherical) needed to course the air if the setting temperature of hot air inside the balloon is 80 degrees C. Assume pressure inside the balloon to be atmospheric.

Let's say you park your car outside overnight during the winter, when you first parked your car the temperature was 29.0 degrees C but overnight the temperature drops to -7.0 degrees C. If your initial gauge pressure was 200kPa, what will be the gauge pressure (in KPa) after the change in temperature?

A student constructs a simple constant volume gas thermometer and calibrates it using the boiling point of water, 100°C, and the freezing point of a specific brine solution, -21°C. The pressures measured at the calibration points are 1.366 atm and 0.9267 atm, respectively. From these data, what temperature will the student calculate, in degrees Celsius, for the value of absolute zero? T =

An air bubble has a volume of 1.60 cm3 when it is released by a submarine 115 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant during its ascent.

By how much does the air pressure in a house increase if the house is sealed and the air temperature increases from 10.0° C to 20.0° C? The initial air pressure is 1.00 atmosphere.

A mass m of helium gas is contained in a container of constant volume V, with a pressure P and absolute (Kelvin) temperature T at the start. More helium is added, increasing the total mass of helium gas to 3 m. The temperature is found to be 2T after this addition. In terms of the initial pressure P, what is the final gas pressure?

At the same pressure, the ideal gas law is density x temperature = constant. An old house has only one thermostat upstairs set at 20 deg C. The air density upstairs is 1.2 kg/m3, while downstairs is 3% denser. The air temperature downstairs is °C. Type your answer.

A spherical weather balloon is designed to inflate to a maximum diameter of 17.0 m at its working altitude, where the air pressure is 0.380 atm and the temperature is 194.0 K. If the balloon is filled at atmospheric pressure and temperature 293.0 K, what is its radius at lift-off? Treat the gas as an ideal gas. (Units: m)

1.1 m3. The mass of the balloon 3. Consider a hot-air balloon with fixed volume VB envelope, whose volume is to be neglected in comparison to VB, is mL balloon shall be started, where the external air temperature is T = 20°C and the normal 0.187 kg. The

On Mars, the atmosphere is composed mainly of carbon dioxide. The value of the gas constant for the Martian atmosphere is 192 J/kg-K, and the acceleration of gravity there is 3.72 m/s?. At the average level of the Martian surface, the average temperature is 230 K, the pressure is 790 N/m?. At a certain altitude, the pressure is 680 N/m? and the average temperature is 203 K. 6. The temperature lapse rate is: A) – 0.01613 K/m B) – 0.1613 K/m C) – 1.613 K/m D) None of the above 7. The altitude is: A) 1200 m B) 1675 m C) 1765 m D) None of the above