Question 1 Helium gas is contained in a cylinder by a gas-tight piston which can be assumed to move without friction. The gas occupies a volume of 1 x 10^-3m^3 temperature of 300K and a pressure of 1 x 10^5 Pa. (a) Calculate : i.the number of helium atoms in the container, ii.the total KE of the helium atoms (b) Energy is now supplied to the gas in such a way that the gas expands and the temperature remains constant at 300K. State, and explain what changes, if any, will have occurred in the following quantities : i. The internal energy of the gas ii. The root-mean-square speed of the helium atoms iii. The density of the gas. (Given : Boltzmann's constant = 1.38 x 10^23 JK^-1)

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A child takes a helium balloon on a plane from Denver (with an air pressure of 0.83 atm) on a cool day when the temperature is 20.0oC to Boston (at sea level, with an air pressure of 1.0 atm) where the temperature is 5.0oC.  Assume that no gas escapes from the balloon during the flight.  What is the volume of the balloon in Boston, relative to its size in Denver? Group of answer choices The volume in Boston is 0.79 times the volume in Denver. The volume in Boston is 0.20 times the volume in Denver. The volume in Boston is 0.87 times the volume in Denver The volume in Boston is 1.3 times the volume in Denver. The volume in Boston is the same as the volume in Denver.

The value of stress concentration factor depends on the geometry. If Ka and Kb are stress concentration factor for case (a) and case (b), respectively, which answer of the following is true?  ​     Ka > Kb     KA = KB     KA < KB     None of the rest.

Acetone (nail polish remover) has a density of 0.7857 g/cm^3. What is the mass, in g, of 28.56 mL of acetone?

In the 1970s cartoon The Super Friends, the Wonder Twins helped Superman and others fight crime. One of the Wonder Twins was Zan, who was able to take on the form of H2O in its various phases (ice, liquid water, water vapor). After taking a physics class, he decides to conduct a little experiment by turning into an ice igloo in the park on a hot day. (a) If his total mass as an igloo is 64.50 kg and he starts with a temperature of −13.50°C, how much heat must flow into him to completely melt his body? J(b) He continues absorbing energy up to the point where he would start to vaporize (100.0°C). How much more heat is required to raise his temperature to the vaporization point? J(c) How much more heat is required to turn him into water vapor at 100.0°C? J(d) If we model the water vapor molecules making up his body as having only six degrees of freedom, what is the average kinetic energy of one of the water vapor molecules that make up Zan? (Consider the case when Zan is water vapor at…

A Midwest Cooperative needs to store 15 750 gallons of a liquid chemical. They are considering two possible containers, a hollow cylinder or a hollow sphere. The wall of the sphere will need to be 6 in. thick and the wall, top and bottom of the cylinder are each 6 in. thick. Due to space limitations the height of the cylinder must be 26.0 ft. (a)What will be the outside diameter of the cylinder required to hold the liquid chemical? (b)What will be the outside diameter of the sphere? (c)Assume the containers are made of aluminum, which container uses the most material?