All MCAT Physical Resources
Example Questions
Example Question #461 : Mcat Physical Sciences
Which of the following is a possible unit of measurement for surface tension?
Surface tension is a phenomenon observed in fluids, and is defined as the resistance of a fluid to outside force (or a resistance to increased surface area). Surface tension is measured in force per unit length.
The SI unit for force is Newtons and the SI unit for length is meters; therefore, the surface tension is usually measured as .
Surface tension can also be measured in energy per unit area. Energy is measured in Joules and area is measured in square meters; therefore, the units for surface tension can also be .
We can see that these units are equivalent by looking at the conversion of Joules and Newtons:
Example Question #463 : Mcat Physical Sciences
Which of the following is false regarding surface tension?
Surface tension prevents water molecules in a droplet from spreading
Compared to an object that is completely submerged in water, an object floating on water has less resistance to motion
The interaction between molecules at the surface is stronger than the interaction between molecules below the surface
Surface tension forces water droplets to form spheres because they has the lowest surface area to volume ratio
Compared to an object that is completely submerged in water, an object floating on water has less resistance to motion
Consider a beaker containing water. The molecules at the surface of water interact with fewer molecules than the molecules at the center of the beaker. The surface molecules have no water molecules above them, whereas the molecules in the center of the solution interact with molecules in all directions. Since the surface molecules have fewer interactions, the interactions between these molecules are much stronger than the interactions of a center molecule; fewer interactions have opposing counterparts, resulting in stronger forces.
Recall that surface tension can be defined as the resistance to increasing surface area. This means that the surface area is minimized due to surface tension. Of all the geometrical shapes, spheres have the lowest surface area to volume ratio; therefore, surface tension forces water droplets to take spherical shapes. Surface tension occurs due to the intermolecular forces between liquid molecules. These intermolecular forces between molecules are cohesive, preventing the spreading of water molecules.
It is harder to move an object that is floating on water than an object submerged in water. This occurs because the interactions between the molecules at the surface are stronger than the interactions below the surface. Moving an object involves moving the water molecules around it. Since it is harder to move molecules at the surface (stronger interactions), it is harder to move an object at the surface. An object floating on water will have more resistance to motion.
Example Question #461 : Mcat Physical Sciences
Increased surface tension __________ the surface area of the molecule because it __________ the amount of molecules at the surface.
decreases . . . increases
decreases . . . decreases
increases . . . increases
increases . . . decreases
decreases . . . decreases
Surface area is directly related to the number of molecules at the surface. An increase in surface area will lead to an increase in the number of molecules at the surface. Since surface tension is the ability of a fluid to resist an increase in surface area, the surface area decreases due to increased surface tension. This means that the amount of molecules at the surface also decreases due to surface tension.
Example Question #31 : Fluids And Gases
What is the volume of two moles of diatomic nitrogen gas at STP?
11.2L
22.4L
33.6L
44.8L
44.8L
One mole of gas has a volume of 22.4L at STP.
Since there are two moles of gas present, the volume is doubled.
2(22.4) = 44.8L
The fact that the gas is diatomic is irrelevant.
Example Question #1 : Gases
Air is composed of about 78% nitrogen (molecular mass = 28 g/mole), 21% oxygen (molecular mass = 32 g/mole), and 1% argon (40 g/mole). The weighted average of these numbers leads to the approximation that if air was a pure gas, its “molar mass” would be about 29 g/mole. Helium has a molar mass of 4 g/mole. What is the volume of helium gas required to lift a balloon carrying a 100 gram sensor?
- about 20 liters
- about 50 liters
- about 90 liters
- about 120 liters
- about 166 liters
2
1
3
5
4
3
Choice 3 is correct. The question forces the respondent to recall that one mole of an ideal gas occupies 22.4 liters at standard temperature (zero Celsius) and pressure (1 atmosphere). Helium balloons rise because they are less dense than air by a factor of 29 g/mole – 4 g/mole = 25 g/mole. Since the sensor has a mass of 100 g, it will require about 4 molar volumes of He to lift it.
Example Question #1 : Gases
15L of a gas is held at constant pressure as the temperature increases from 300K to 350K. What is the new volume?
The volume does not change
10L
17.5L
12.5L
17.5L
Charles's Law states that . To solve for the final volume, we simply plug in our given values to this equation.
This law applies only for isobaric (constant pressure) changes.
Example Question #2 : Gases
8 liters of an ideal gas is in an isolated container at 30 degrees Celsius. The container is heated at constant pressure until its volume is doubled. What is the new temperature of the gas?
220oC
150oC
60oC
333oC
124oC
333oC
At constant pressure, , where the temperatures are measured in Kelvin (absolute temperature).
First, convert the given temperature (C) to Kelvin (K).
K = C + 273 = 30 + 273 = 303K
Plug the temperature and volumes into the above equation and solve for the final temperature.
Convert this value back to Celsius.
C = K - 273 = 606 - 273 = 333oC
Example Question #1 : Gases
Five moles of nitrogen gas are present in a 10L container at 30oC. What is the pressure of the container?
9atm
5atm
17.2atm
12.4atm
10.5atm
12.4atm
Using the ideal gas law equation we can find that P= nRT/V. We then plug in the given values.
Solving for P gives us 12.4atm.
Note: 30oC must be converted into Kelvin by adding 273K
Example Question #1 : Gas Laws
If one mole of oxygen gas occupies a 5L container at 300K, what is the pressure in the container?
Using the ideal gas law, , we can solve for pressure.
Example Question #3 : Gases
Recall that the ideal gas law states that , where .
If there are 5g of hydrogen gas in a 10L chamber at 32°C, what would be the pressure?
12.5atm
3.15atm
6.25atm
1.3atm
6.25atm
Using the equation and solving for P you get, .
Recall that hydrogen forms a diatomic molecule when in gas form. This should always be an assumption when working with hydrogen gas on the MCAT. When we convert 5g to moles, we must use a conversion factor of 2g/mol.
Temperature must be converted to Kelvin. You must have this conversion memorized for the MCAT.
Now we can solve for P.
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