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(a) At what temperature does water boil at an altitude of 1500 m (about 5000 ft) on a day when atmospheric pressure is 8 . 59 × 10 4 N/m 2 ? size 12{8 "." "59" times "10" rSup { size 8{4} } " N/m" rSup { size 8{2} } ?} {} (b) What about at an altitude of 3000 m (about 10,000 ft) when atmospheric pressure is 7 . 00 × 10 4 N/m 2 ? size 12{7 "." "00" times "10" rSup { size 8{4} } " N/m" rSup { size 8{2} } ?} {}

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What is the atmospheric pressure on top of Mt. Everest on a day when water boils there at a temperature of 70 . 0 º C? size 12{"70" "." 0°"C?"} {}

3 . 12 × 10 4 Pa size 12{ size 11{3 "." "12" times "10" rSup { size 8{4} } " Pa"}} {}

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At a spot in the high Andes, water boils at 80 . 0 º C size 12{"80" "." 0°C} {} , greatly reducing the cooking speed of potatoes, for example. What is atmospheric pressure at this location?

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What is the relative humidity on a 25 . 0 º C size 12{"25" "." 0°C} {} day when the air contains 18 . 0 g/m 3 size 12{"18" "." 0" g/m" rSup { size 8{3} } } {} of water vapor?

78.3%

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What is the density of water vapor in g/m 3 size 12{"g/m" rSup { size 8{3} } } {} on a hot dry day in the desert when the temperature is 40 . 0 º C size 12{"40" "." 0°C} {} and the relative humidity is 6.00%?

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A deep-sea diver should breathe a gas mixture that has the same oxygen partial pressure as at sea level, where dry air contains 20.9% oxygen and has a total pressure of 1 . 01 × 10 5 N/m 2 size 12{1 "." "01"´"10" rSup { size 8{5} } " N/m" rSup { size 8{2} } } {} . (a) What is the partial pressure of oxygen at sea level? (b) If the diver breathes a gas mixture at a pressure of 2 . 00 × 10 6 N/m 2 size 12{2 "." "00"´"10" rSup { size 8{6} } " N/m" rSup { size 8{2} } } {} , what percent oxygen should it be to have the same oxygen partial pressure as at sea level?

(a) 2 . 12 × 10 4 Pa size 12{ size 11{2 "." "12" times "10" rSup { size 8{4} } " Pa"}} {}

(b) 1 . 06 % size 12{ size 11{1 "." "06"%}} {}

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The vapor pressure of water at 40 . 0 º C size 12{"40" "." 0°C} {} is 7 . 34 × 10 3 N/m 2 size 12{7 "." "34"´"10" rSup { size 8{3} } " N/m" rSup { size 8{2} } } {} . Using the ideal gas law, calculate the density of water vapor in g/m 3 size 12{"g/m" rSup { size 8{3} } } {} that creates a partial pressure equal to this vapor pressure. The result should be the same as the saturation vapor density at that temperature ( 51 . 1 g/m 3 ) . size 12{ \( "51" "." "1 g/m" rSup { size 8{3} } \) "." } {}

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Air in human lungs has a temperature of 37 . 0 º C size 12{"37" "." 0°C} {} and a saturation vapor density of 44 . 0 g/m 3 size 12{"44" "." "0 g/m" rSup { size 8{3} } } {} . (a) If 2.00 L of air is exhaled and very dry air inhaled, what is the maximum loss of water vapor by the person? (b) Calculate the partial pressure of water vapor having this density, and compare it with the vapor pressure of 6 . 31 × 10 3 N/m 2 size 12{6 "." "31"´"10" rSup { size 8{3} } " N/m" rSup { size 8{2} } } {} .

(a) 8 . 80 × 10 2 g size 12{ size 11{8 "." "80" times "10" rSup { size 8{ - 2} } " g"}} {}

(b) 6 . 30 × 10 3 Pa size 12{ size 11{6 "." "30" times "10" rSup { size 8{3} } " Pa"}} {} ; the two values are nearly identical.

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If the relative humidity is 90.0% on a muggy summer morning when the temperature is 20 . 0 º C size 12{"20" "." 0°C} {} , what will it be later in the day when the temperature is 30 . 0 º C size 12{"30" "." 0°C} {} , assuming the water vapor density remains constant?

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Late on an autumn day, the relative humidity is 45.0% and the temperature is 20 . 0 º C size 12{"20" "." 0°C} {} . What will the relative humidity be that evening when the temperature has dropped to 10 . 0 º C size 12{"10" "." 0°C} {} , assuming constant water vapor density?

82.3%

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Atmospheric pressure atop Mt. Everest is 3 . 30 × 10 4 N/m 2 size 12{3 "." "30"´"10" rSup { size 8{4} } " N/m" rSup { size 8{2} } } {} . (a) What is the partial pressure of oxygen there if it is 20.9% of the air? (b) What percent oxygen should a mountain climber breathe so that its partial pressure is the same as at sea level, where atmospheric pressure is 1 . 01 × 10 5 N/m 2 ? size 12{1 "." "01" times "10" rSup { size 8{5} } " N/m" rSup { size 8{2} } ?} {} (c) One of the most severe problems for those climbing very high mountains is the extreme drying of breathing passages. Why does this drying occur?

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What is the dew point (the temperature at which 100% relative humidity would occur) on a day when relative humidity is 39.0% at a temperature of 20 . 0 º C size 12{"20" "." 0°C} {} ?

4 . 77 º C size 12{ size 11{4 "." "77"°C}} {}

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On a certain day, the temperature is 25 . 0 º C size 12{"25" "." 0°C} {} and the relative humidity is 90.0%. How many grams of water must condense out of each cubic meter of air if the temperature falls to 15 . 0 º C size 12{"15" "." 0°C} {} ? Such a drop in temperature can, thus, produce heavy dew or fog.

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Integrated Concepts

The boiling point of water increases with depth because pressure increases with depth. At what depth will fresh water have a boiling point of 150 º C size 12{"150"°C} {} , if the surface of the water is at sea level?

38 . 3 m size 12{ size 11{"38" "." 3``m}} {}

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Integrated Concepts

(a) At what depth in fresh water is the critical pressure of water reached, given that the surface is at sea level? (b) At what temperature will this water boil? (c) Is a significantly higher temperature needed to boil water at a greater depth?

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Integrated Concepts

To get an idea of the small effect that temperature has on Archimedes’ principle, calculate the fraction of a copper block’s weight that is supported by the buoyant force in 0 º C size 12{0°C} {} water and compare this fraction with the fraction supported in 95 . 0 º C size 12{"95" "." 0°C} {} water.

F B / w Cu F B / w Cu = 1 . 02 size 12{ { { left ( {F rSub { size 8{B} } } slash {w rSub { size 8{"Cu"} } } right )} over { left ( {F rSub { size 8{B} } } slash {w rSub { size 8{"Cu"} } } right ) rSup { size 8{′} } } } =1 "." "02"} {} . The buoyant force supports nearly the exact same amount of force on the copper block in both circumstances.

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Integrated Concepts

If you want to cook in water at 150 º C size 12{"150"°C} {} , you need a pressure cooker that can withstand the necessary pressure. (a) What pressure is required for the boiling point of water to be this high? (b) If the lid of the pressure cooker is a disk 25.0 cm in diameter, what force must it be able to withstand at this pressure?

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Unreasonable Results

(a) How many moles per cubic meter of an ideal gas are there at a pressure of 1 . 00 × 10 14 N/m 2 size 12{1 "." "00"´"10" rSup { size 8{"14"} } " N/m" rSup { size 8{2} } } {} and at 0 º C size 12{0°C} {} ? (b) What is unreasonable about this result? (c) Which premise or assumption is responsible?

(a) 4 . 41 × 10 10 mol/m 3 size 12{ size 11{4 "." "41" times "10" rSup { size 8{"10"} } `"mol/m" rSup { size 8{3} } }} {}

(b) It’s unreasonably large.

(c) At high pressures such as these, the ideal gas law can no longer be applied. As a result, unreasonable answers come up when it is used.

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Unreasonable Results

(a) An automobile mechanic claims that an aluminum rod fits loosely into its hole on an aluminum engine block because the engine is hot and the rod is cold. If the hole is 10.0% bigger in diameter than the 22 . 0 º C size 12{"22" "." 0°C} {} rod, at what temperature will the rod be the same size as the hole? (b) What is unreasonable about this temperature? (c) Which premise is responsible?

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Unreasonable Results

The temperature inside a supernova explosion is said to be 2 . 00 × 10 13 K size 12{2 "." "00"´"10" rSup { size 8{"13"} } " K"} {} . (a) What would the average velocity v rms size 12{v rSub { size 8{"rms"} } } {} of hydrogen atoms be? (b) What is unreasonable about this velocity? (c) Which premise or assumption is responsible?

(a) 7 . 03 × 10 8 m/s size 12{ size 11{7 "." "03" times "10" rSup { size 8{8} } `"m/s"}} {}

(b) The velocity is too high—it’s greater than the speed of light.

(c) The assumption that hydrogen inside a supernova behaves as an idea gas is responsible, because of the great temperature and density in the core of a star. Furthermore, when a velocity greater than the speed of light is obtained, classical physics must be replaced by relativity, a subject not yet covered.

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Unreasonable Results

Suppose the relative humidity is 80% on a day when the temperature is 30 . 0 º C size 12{"30" "." 0°C} {} . (a) What will the relative humidity be if the air cools to 25 . 0 º C size 12{"25" "." 0°C} {} and the vapor density remains constant? (b) What is unreasonable about this result? (c) Which premise is responsible?

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Questions & Answers

how do you calculate the 5% uncertainty of 4cm?
melia Reply
4cm/100×5= 0.2cm
haider
how do you calculate the 5% absolute uncertainty of a 200g mass?
melia Reply
= 200g±(5%)10g
haider
use the 10g as the uncertainty?
melia
which topic u discussing about?
haider
topic of question?
haider
the relationship between the applied force and the deflection
melia
sorry wrong question i meant the 5% uncertainty of 4cm?
melia
its 0.2 cm or 2mm
haider
thank you
melia
Hello group...
Chioma
hi
haider
well hello there
sean
hi
Noks
the meaning of phrase in physics
Chovwe Reply
is the meaning of phrase in physics
Chovwe
write an expression for a plane progressive wave moving from left to right along x axis and having amplitude 0.02m, frequency of 650Hz and speed if 680ms-¹
Gabriel Reply
how does a model differ from a theory
Friday Reply
To use the vocabulary of model theory and meta-logic, a theory is a set of sentences which can be derived from a formal model using some rule of inference (usually just modus ponens). So, for example, Number Theory is the set of sentences true about numbers. But the model is a structure together wit
Jesilda
with an iterpretation.
Jesilda
what is vector quantity
Ridwan Reply
Vector quality have both direction and magnitude, such as Force, displacement, acceleration and etc.
Besmellah
Is the force attractive or repulsive between the hot and neutral lines hung from power poles? Why?
Jack Reply
what's electromagnetic induction
Chinaza Reply
electromagnetic induction is a process in which conductor is put in a particular position and magnetic field keeps varying.
Lukman
wow great
Salaudeen
what is mutual induction?
je
mutual induction can be define as the current flowing in one coil that induces a voltage in an adjacent coil.
Johnson
how to undergo polarization
Ajayi Reply
show that a particle moving under the influence of an attractive force mu/y³ towards the axis x. show that if it be projected from the point (0,k) with the component velocities U and V parallel to the axis of x and y, it will not strike the axis of x unless u>v²k² and distance uk²/√u-vk as origin
Gabriel Reply
show that a particle moving under the influence of an attractive force mu/y^3 towards the axis x. show that if it be projected from the point (0,k) with the component velocities U and V parallel to the axis of x and y, it will not strike the axis of x unless u>v^2k^2 and distance uk^2/√u-k as origin
Gabriel Reply
No idea.... Are you even sure this question exist?
Mavis
I can't even understand the question
Ademiye
yes it was an assignment question "^"represent raise to power pls
Gabriel
mu/y³ u>v²k² uk²/√u-vk please help me out
Gabriel
An engineer builds two simple pendula. Both are suspended from small wires secured to the ceiling of a room. Each pendulum hovers 2 cm above the floor. Pendulum 1 has a bob with a mass of 10kg . Pendulum 2 has a bob with a mass of 100 kg . Describe how the motion of the pendula will differ if the bobs are both displaced by 12º .
Imtiaz Reply
no ideas
Augstine
if u at an angle of 12 degrees their period will be same so as their velocity, that means they both move simultaneously since both both hovers at same length meaning they have the same length
Ademiye
Modern cars are made of materials that make them collapsible upon collision. Explain using physics concept (Force and impulse), how these car designs help with the safety of passengers.
Isaac Reply
calculate the force due to surface tension required to support a column liquid in a capillary tube 5mm. If the capillary tube is dipped into a beaker of water
Mildred Reply
find the time required for a train Half a Kilometre long to cross a bridge almost kilometre long racing at 100km/h
Ademiye
method of polarization
Ajayi
What is atomic number?
Makperr Reply
The number of protons in the nucleus of an atom
Deborah
Practice Key Terms 4

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Source:  OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
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