The number density of gas atoms at a certain location in the space above our planet is about 0.75 × 1011 m³³, and the pressure is 2.9 × 10- 10 Pa in this region. What is the temperature in this region, in degrees Celsius?
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- 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. What is the density of air inside the balloon, in terms of the pressure P, temperature T, molar mass M, and the gas constant R? b. How much mass can this balloon lift (in addition to the mass of the gas inside) in terms the balloon volume Vb, the atmosphere air density ρa, the density of the air in the balloon ρg, and the gravitational acceleration g? c. 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.1. Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of 10 °C and rises to an altitude where its volume is twenty times the original volume and its temperature is -46 °C? P₂ = ✔atm (b) What is the gauge pressure? (Assume atmospheric pressure is constant.) Gauge pressure: atmThe number density of gas atoms at a certain location in the space above our planet is about 3.60 x 1011 m-3, and the pressure is 2.30 x 10-10 N/m² in this space. What is the temperature there? °C Additional Materials O Reading
- Large helium-filled balloons are used to lift scientific equipment to high altitudes. What is the pressure inside such a balloon (in atm) if it starts out at sea level with a temperature of 20.8°C and rises to an altitude where its volume is sixteen times the original volume and its temperature is −35.7°C? (Enter your answer to at least 3 decimal places) What is the gauge pressure? (Enter your answer in atm and to at least 3 decimal places. Assume atmospheric pressure is constant.)A weather balloon rises through the atmosphere, its volume expanding from 4.9 m3 to 14 m3 as the temperature drops from 21 ∘C to -10 ∘C. If the initial gas pressure inside the balloon is 1.0 atmatm, what is the final pressure?On the surface of a hypothetical planet X, the atmospheric pressure is 4.25 x 106 Pa, and the temperature is 707 K. On the earth's surface the atmospheric pressure is 1.00 x 105 Pa, while the surface temperature can reach 320 K. These data imply that the planet X has a "thicker" atmosphere at its surface than does the earth, which means that the number of molecules per unit volume (N/V) is greater on the surface of planet X than on the earth. Find the ratio (N/V)X/(N/V)Earth.
- VRMS-1 Consider a container of Argon gas at a temperature of 25.0 °C. The mass of an Argon atom is 39.96 AMU, where 1 AMU = 1.66×10-27 kg. (a) What is the average kinetic energy per Argon atom, in Joules (J)? (b) What is the RMS average speed of the Argon atoms, in meters per second (m/s)? (c) What would the temperature of the gas have to be for the RMS average speed to 275 m/s? Give your answer in degrees Celsius (°C).The number density of gas atoms at a certain location in the space above our planet is about 0.75 × 1011 m-3, and the pressure is 2.65 × 10-10 Pa in this region. What is the temperature in this region, in degrees Celsius?