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Problems&Exercises
The gauge pressure in your car tires is
at a temperature of
when you drive it onto a ferry boat to Alaska. What is their gauge pressure later, when their temperature has dropped to
?
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Convert an absolute pressure of
to gauge pressure in
(This value was stated to be just less than
in
[link] . Is it?)
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Suppose a gas-filled incandescent light bulb is manufactured so that the gas inside the bulb is at atmospheric pressure when the bulb has a temperature of
. (a) Find the gauge pressure inside such a bulb when it is hot, assuming its average temperature is
(an approximation) and neglecting any change in volume due to thermal expansion or gas leaks. (b) The actual final pressure for the light bulb will be less than calculated in part (a) because the glass bulb will expand. What will the actual final pressure be, taking this into account? Is this a negligible difference?
(a) 0.136 atm
(b) 0.135 atm. The difference between this value and the value from part (a) is negligible.
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Large helium-filled balloons are used to lift scientific equipment to high altitudes. (a) What is the pressure inside such a balloon if it starts out at sea level with a temperature of
and rises to an altitude where its volume is twenty times the original volume and its temperature is
? (b) What is the gauge pressure? (Assume atmospheric pressure is constant.)
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Confirm that the units of
are those of energy for each value of
: (a)
, (b)
, and (c)
.
(a)
(b)
(c)
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In the text, it was shown that
for gas at STP. (a) Show that this quantity is equivalent to
as stated. (b) About how many atoms are there in one
(a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of atoms and molecules?
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Calculate the number of moles in the 2.00-L volume of air in the lungs of the average person. Note that the air is at
(body temperature).
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An airplane passenger has
of air in his stomach just before the plane takes off from a sea-level airport. What volume will the air have at cruising altitude if cabin pressure drops to
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(a) What is the volume (in
) of Avogadro’s number of sand grains if each grain is a cube and has sides that are 1.0 mm long? (b) How many kilometers of beaches in length would this cover if the beach averages 100 m in width and 10.0 m in depth? Neglect air spaces between grains.
(a)
(b)
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An expensive vacuum system can achieve a pressure as low as
at
. How many atoms are there in a cubic centimeter at this pressure and temperature?
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The number density of gas atoms at a certain location in the space above our planet is about
and the pressure is
in this space. What is the temperature there?
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A bicycle tire has a pressure of
at a temperature of
and contains 2.00 L of gas. What will its pressure be if you let out an amount of air that has a volume of
at atmospheric pressure? Assume tire temperature and volume remain constant.
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A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of
and a temperature of
. Its valve leaks after the cylinder is dropped. The cylinder is cooled to dry ice temperature
to reduce the leak rate and pressure so that it can be safely repaired. (a) What is the final pressure in the tank, assuming a negligible amount of gas leaks while being cooled and that there is no phase change? (b) What is the final pressure if one-tenth of the gas escapes? (c) To what temperature must the tank be cooled to reduce the pressure to 1.00 atm (assuming the gas does not change phase and that there is no leakage during cooling)? (d) Does cooling the tank appear to be a practical solution?
(a)
(b)
(c) 2.16 K
(d) No. The final temperature needed is much too low to be easily achieved for a large object.
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Find the number of moles in 2.00 L of gas at
and under
of pressure.
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Calculate the depth to which Avogadro’s number of table tennis balls would cover Earth. Each ball has a diameter of 3.75 cm. Assume the space between balls adds an extra 25.0% to their volume and assume they are not crushed by their own weight.
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(a) What is the gauge pressure in a
car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and
? Assume the temperature returns to
and the volume remains constant.
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(a) In the deep space between galaxies, the density of atoms is as low as
and the temperature is a frigid 2.7 K. What is the pressure? (b) What volume (in
) is occupied by 1 mol of gas? (c) If this volume is a cube, what is the length of its sides in kilometers?
(a)
(b)
(c)
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Questions & Answers
Ayele, K., 2003. Introductory Economics, 3rd ed., Addis Ababa.
can you send the book attached ?
Ariel
the study of how humans make choices under conditions of scarcity
AI-Robot
U(x,y) = (x×y)1/2
find mu of x for y
U(x,y) = (xÃy)1/2
find mu of x for y
Desalegn
this is the study of how the society manages it's scarce resources
Belonwu
macroeconomic is the branch of economics which studies actions, scale, activities and behaviour of the aggregate economy as a whole.
husaini
difference between firm and industry
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from
Qd 120 3P
to
Qd 90 3P
and the supply function has shifted from
QS
20 2P
to
QS
10 2P .
a) Find the effect of this change on price and quantity.
b) Which of the changes in demand and supply is higher?
explain standard reason why economic is a science
factors influencing supply
scares
means__________________ends
resources. unlimited
Jan
economics is a science that studies human behaviour as a relationship b/w ends and scares means which have alternative uses
Jan
calculate the profit maximizing for demand and supply
Why qualify 28 supplies
Milan
out-of-pocket costs for a firm, for example, payments for wages and salaries, rent, or materials
AI-Robot
concepts of supply in microeconomics
identify a demand and a supply curve
there's a difference
Aryan
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
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Source:
OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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