One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?

A company advertises that it delivers helium at a gauge pressure of 1.72107 Pa in a cylinder of volume 43.8 L. How many balloons can be inflated to a volume of 4.00 L with that amount of helium? Assume the pressure inside the balloons is 1.72105 Pa and the temperature in the cylinder and the balloons is 25.0 .

Assuming the human body is primarily made of water, estimate the number of molecules in it. (Note that water has a molecular mass of 18 g/mol and there are roughly 1024 atoms in a mole)

(a) Find the density in SI units of air at a pressure of 1.00 atm and a temperature of 20 , assuming that air is 78% N2, 21% O2, and 1% Ar, (b) Find the density of the atmosphere on Venus, assuming that it's 96% CO2 and 4% N2, with a temperature of 737 K and a pressure of 92.0 atm.

The height of the Washington Monument is measured to be 170.00 m on a day when the temperature is 35.0 . What will its height be on a day when the temperature falls to -10.0 ? Although the monument is made of limestone, assume that its coefficient of thermal expansion is the same as that of marble. Give your answer to five significant figures.

(I) An air bubble has a radius of 2 mm at a depth of 12 m in water at temperature of 8 °C. What is its radius just below the surface where the temperature is 16 °C?

(II) To make a secure fit, rivets that are larger than therivet hole are often used and the rivet is cooled (usuallyin dry ice) before it is placed in the hole. A steel rivet1.872 cm in diameter is to be placed in a hole 1.870 cm indiameter in a metal at 22°C. To what temperature must therivet be cooled if it is to fit in the hole?

Physics: Temperature [ A bubble of air is rising up through the ocean. When it is at a depth of 22.0 m below the surface, where the temperature is 5.00°C, its volume is 1.10 cm3. What is the bubble's volume (in cm3) just before it hits the ocean surface, where the temperature is 20.0°C? Assume the average density of sea water is 1,025 kg/m3. ] May I ask for some help in setting this problem up and what equations I should use, please? I have not been taught fluid dynamics, and that is not being taught in the current chapter, so I am not sure how to relate the depth and density to the gas law parts. Also, is it correct to assume I'll be using PV = nRT in this problem, and/or some variation of P1V1/T1 = P2V2/T2?

(II) A scuba tank is filled with air to a gauge pressure of204 atm when the air temperature is 29°C. A diver then jumpsinto the ocean and, after a short time on the ocean surface,checks the tank’s gauge pressure and finds that it is only191 atm. Assuming the diver has inhaled a negligible amountof air from the tank, what is the temperature of the oceanwater?