7. A 27.8 L balloon is filled with 7.52g of gas X and placed next to a 27.8 L balloon filled with helium.
Given that Helium has a density of 0.179g/L, which statement correctly explains the movement of the balloons
with valid justification?
a) The balloon filled with helium will float higher because helium is less dense than gas X
b) The balloon filled with gas X will float higher because gas X is less dense than helium
c) Both balloons will float to the same level because their densities are the same
d) Both balloons will float to the same level because their volumes are the same
e) There is not enough information to determine the movement of the balloons

a) The balloon filled with helium will float higher because helium is less dense than gas X

Explanation:

Since gases are known to not have fixed density, they take up the density of their containers, let us find the density of the gas in first balloon.

 Density is the mass per unit volume;

         Density  =  

Insert the parameters and solve;

    mass of gas  = 7.52g

     volume of the gas  = 27.8L

          Density  =   = 0.271g/L

Let us compare the two densities;

 Density of gas  = 0.271g/L

 Density of helium  = 0.179g/L

We see that the density of the gas is higher than that of helium, so, it not float as high as the balloon with helium. The balloon with helium is lighter.

mechanics (greek   is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. the scientific discipline has its origins in ancient greece with the writings of aristotle and archimedes[1][2][3] (see history of classical mechanics and timeline of classical mechanics). during the early modern period, scientists such as galileo, kepler, and newton laid the foundation for what is now known as classical mechanics. it is a branch of classical physics that deals with particles that are either at rest or are moving with velocities significantly less than the speed of light. it can also be defined as a branch of science which deals with the motion of and forces on objects. the field is yet less widely understood in terms of quantum theory.

explanation: