A balloon has a volume of 2.0 m3. As it rises in the Earth's atmosphere, its volume expands. What will be its new volume if its original temperature and pressure are 20°C and 1.0 atm, and its final temperature and pressure are -40°C and 0.10 atm?

At 26.0 m below the surface of the sea (density = 1 025 kg/m3), where the temperature is 5.00°C, a diver exhales an air bubble having a volume of 1.10 cm3. If the surface temperature of the sea is 20.0°C, what is the volume of the bubble just before it breaks the surface in centimeters?

A diver is at 5 meter depth in a fresh water lake. At that depth, the temperature is 15◦C. The pressure in the water at a depth d is given by p(d) = psurface + ρgd, where ρ is the liquid density, and g = 9.81m s−2is the gravitational constant.(a) The diver releases an air bubble of 1cm diameter. What is the diameter of the bubble when it reaches the surface where the temperature is 20◦C?Assume that the bubble temperature is always the same as the surroundingwater.(b) The diver stayed 1h at a 5m depth. The pressure in the diving tank went down from 250 bars to 50 bars. We assume that the volume of the lungs is 5L. Assuming that the water temperature is also 15◦C, how long could the diver have stayed underwater at 20m depth using the same amount of air?(c) The diver is at 5m depth and decides to surface. The air in the lungs is at a constant temperature of 37◦C. What fraction of the air in her/his lungs should the diver inhale/release to maintain a constant lung volume?

The density of gasoline at 0°C is 0.68 × 10° kg/m³. (a) What is the density on a hot day, when the temperature is 33°C? (b) What is the percent change in density?

A room has dimensions of 7.2 m by 5.9 m by 3.2 m. The pressure inside the room is 90,000 Pa and the temperature is 37 degrees C. Another room with the same dimensions and pressure has a temperature of -7 degrees C. If air has a molar mass of 29 g/mol, calculate the mass of air in each room in kg. Which room has the larger mass of air? Answer in kg rounded to the nearest tenths place.

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 -40 °C? P2 = atm (b) What is the gauge pressure? (Assume atmospheric pressure is constant.) Gauge pressure: atm

A gas is heated to 75 °C and a pressure of 200 kPa. If the container is compressed to hold a volume of 700 mL, what was the volume of the gas, (in litres), at a temperature of 40 °C and 100 kPa pressure? B. A vessel of volume 5x10-5 m3 contains hydrogen at a pressure of 1.5 Pa at a temperature of 37 °C. Estimate: i. The number of molecules of hydrogen gas in the vessel. (4 marks) ii. The number of moles of hydrogen. iii. Mass of hydrogen iv. The kinetic energy of hydrogen. v. The root mean square speed. Given: M = 1.008 g/mol; R = 8.31 J/mol-K; NA = 6.02 x 1023 mol-1; k = 1.38 x 10-23 J/K

A bubble of air is rising from the sea floor, from a depth of about 500 m. At this depth the pressure is 5.1*106 Pa (about 50.3 atm) and is at a temperature of about 7.0° C. It rises to the surface with the atmosphere, at a temperature of 20° C. If the bubble is observed to have a volume of 4 cm³ at the surface, what was its volume at the sea floor? Assume the number of moles of gas in the bubble is constant. B.

A (1.0x10^1) liter bottle is filled with nitrogen (N2) at STP (Standard Temperature and Pressure is 1 atm and 273 K) and closed tight. If the temperature is raised to 100° C, what will be the new pressure in SI units to two significant figures.