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Magazine Problem 1
On a warm summer day, the air temperature is \(84^{\circ} \mathrm{F}\). Express
this temperature in (a) \(^{\circ} \mathrm{C}\) and (b) kelvins.
Problem 2
The temperature at which liquid nitrogen boils (at atmospheric pressure) is
\(77 \mathrm{K}\). Express this temperature in
(a) \(^{\circ} \mathrm{C}\) and (b) \(^{\circ} \mathrm{F}\).
Problem 4
(a) At what temperature (if any) does the numerical value of Celsius degrees
equal the numerical value of Fahrenheit degrees? (b) At what temperature (if
any) does the numerical value of kelvins equal the numerical value of
Fahrenheit degrees?
Problem 5
Aliens from the planet Jeenkah have based their temperature scale on the
boiling and freezing temperatures of ethyl alcohol. These temperatures are
\(78^{\circ} \mathrm{C}\) and \(-114^{\circ} \mathrm{C}\) respectively. The people
of Jeenkah have six digits on each hand, so they use a base- 12 number system
and have decided to have \(144^{\circ} \mathrm{J}\) between the freezing and
boiling temperatures of ethyl alcohol. They set the freezing point to
\(0^{\circ} \mathrm{J} .\) How would you convert from " \(\mathrm{J}\) to
\(^{\circ} \mathrm{C} ?\)
Problem 8
Steel railroad tracks of length \(18.30 \mathrm{m}\) are laid at $10.0^{\circ}
\mathrm{C} .$ How much space should be left between the track sections if they
are to just touch when the temperature is \(50.0^{\circ} \mathrm{C} ?\)
Problem 11
The coefficient of linear expansion of brass is \(1.9 \times 10^{-5}\) $^{\circ}
\mathrm{C}^{-1} .\( At \)20.0^{\circ} \mathrm{C},$ a hole in a sheet of brass
has an area of \(1.00 \mathrm{mm}^{2} .\) How much larger is the area of the
hole at $30.0^{\circ} \mathrm{C} ?(\text { Wile tutorial: loop around the
equator })$
Problem 13
A temperature change \(\Delta T\) causes a volume change \(\Delta V\) but has no
effect on the mass of an object. (a) Show that the change in density $\Delta
\rho\( is given by \)\Delta \rho=-\beta \rho \Delta T$. (b) Find the fractional
change in density \((\Delta \rho / \rho)\) of a brass sphere when the
temperature changes from \(32^{\circ} \mathrm{C}\) to \(-10.0^{\circ} \mathrm{C}\)
Problem 15
An ordinary drinking glass is filled to the brim with water \((268.4 \mathrm{mL})\) at \(2.0^{\circ} \mathrm{C}\) and placed on the sunny pool deck for a swimmer to enjoy. If the temperature of the water rises to \(32.0^{\circ} \mathrm{C}\) before the swimmer reaches for the glass, how much water will have spilled over the top of the glass? Assume the glass does not expand.
Problem 17
A steel sphere with radius \(1.0010 \mathrm{cm}\) at \(22.0^{\circ} \mathrm{C}\)
must slip through a brass ring that has an internal radius of $1.0000
\mathrm{cm}$ at the same temperature. To what temperature must the brass ring
be heated so that the sphere, still at \(22.0^{\circ} \mathrm{C},\) can just
slip through?
Problem 28
Find the molar mass of ammonia (NH \(_{3}\) ).
