Temperature final ch.13
A steel ring stands on edge with a rod of some material inside. As this system is heated, for which of the following rod materials will the rod eventually touch the top of the ring?
Aluminum Aluminum is the only material that has a larger b value than the steel ring, so that means that the aluminum rod will expand more than steel ring. Thus, only in that case does the rod have a chance of reaching the top of the steel ring.
Which is the largest unit: one Celsius degree, one Kelvin degree, or one Fahrenheit degree?
Both one degree celsius and one Kelvin The Celsius degree and the Kelvin degree are the same size. The scales only differ by an offset, not by the size of the degree unit. For Fahrenheit, there are 180 degrees between boiling and freezing (212°F-32°F). For Celsius, there are 100 degrees between the same points, so the Celsius (and Kelvin) degrees must be larger.
Which has more molecules - a mole of nitrogen (N2) gas or a mole of oxygen (O2) gas?
Both the same A mole is defined as a quantity of gas molecules equal to Avogadro's number (6.02 1023). This value is independent of the type of gas.
A grandfather clock uses a brass pendulum to keep perfect time at room temperature. If the air conditioning breaks down on a very hot summer day, how will the grandfather clock be affected?
Clock will run slower than usual The pendulum will expand, so its length will increase. The period of a pendulum depends on the length as shown below, so the period will also increase. Thus, the clock will run slow.
Two identical cylinders at the same pressure contain the same gas. If A contains three times as much gas as B, which cylinder has the higher temperature?
Cylinder B PV=nRT T=PV/nR Less gas=higher temp
Metals such as brass expand when heated. The thin brass plate in the movie has a circular hole in its center. When the plate is heated, what will happen to the hole?
Gets larger Imagine drawing a circle on the plate. This circle will expand outward along with the rest of the plate. Now replace the circle with the hole, and you can see that the hole will expand outward as well. Note that the material does NOT "expand inward" to fill the hole!!
You want to take apart a couple of aluminum parts held together by steel screws, but the screws are stuck. What should you do?
Heat the thing up Since aluminum has a larger b value, that means aluminum expands more than steel. Thus, by heating the part, the aluminum holes will expand faster than the steel screws and the screws will come loose.
A plastic soda bottle is empty and sits out in the sun, heating the air inside. Now you put the cap on tightly and put the bottle in the fridge. What happens to the bottle as it cools?
It contracts and the sides collapse inward The air inside the bottle is warm, due to heating by the sun. When the bottle is in the fridge, the air cools. As the temperature drops, the pressure in the bottle also drops. Eventually, the pressure inside is sufficiently lower than the pressure outside (atmosphere) to begin to collapse the bottle.
What happens to the volume of a balloon if you put it in the freezer?
It decreases According to the Ideal Gas Law, when the temperature is reduced at constant pressure, the volume is reduced as well. The volume of the balloon therefore decreases. PV=nRT
A steel tape measure is marked such that it gives accurate length measurements at room temperature. If the tape measure is used outside on a very hot day, how will its length measurements be affected?
Measured lengths will be too small The tape measure will expand, so its markings will spread out farther than the correct amount. When it is laid down next to an object of fixed length, you will read too few markings for that given length, so the measured length will be too small.
It turns out that - 40°C is the same temperature as - 40°F. Is there a temperature at which the Kelvin and Celsius scales agree?
No The Celsius and Kelvin scales differ only by an offset, which is 273 degrees. Therefore, a temperature on one scale can never match the same numerical value on the other scale. The reason that such agreement is possible for Celsius and Fahrenheit is the fact that the actual degree units have different sizes (recall the previous question)
Which weighs more - a mole of nitrogen (N2) gas or a mole of oxygen (O2) gas?
Oxygen The oxygen molecules have a molecular mass of 32, while the nitrogen molecules have a molecular mass of 28.
Two identical cylinders at the same temperature contain the same gas. If B has twice the volume and half the number of moles as A, how does the pressure in B compare with the pressure in A?
Pb=1/4Pa Since B has a factor of two more volume, it has a factor of two less pressure. But B also has half the amount of gas, so that is another factor of two reduction in pressure. Thus, B must have only 1/4 the pressure of A.
Two drinking glasses are stuck, one inside the other. How would you get them unstuck?
Run hot water over the outer one Running hot water only over the outer glass will allow the outer one to expand, while the inner glass remains relatively unchanged. This should loosen the outer glass and free it.
You may notice that if a mercury-in-glass thermometer is inserted into a hot liquid, the mercury column first drops, and then later starts to rise (as you expect). How do you explain this drop?
The glass expands before the mercury expands The hot liquid touches the glass first, so initially the glass expands slightly. This increases the volume inside the glass, and so the mercury level drops slightly. Once the mercury heats up, it begins to expand and then the characteristic rise in the mercury column follows, indicating the increase in temperature that you expected to measure.
Two identical cylinders at the same temperature contain the same gas. If A contains three times as much gas as B, which cylinder has the higher pressure?
cylinder A PV=nRT P=nRT/V Larger value of n= higher pressure
