I took a flight from Los Angeles to Denver, and I carried with me a closed water bottle of the type that delivers water to me through a built-in straw (see Figure 1). The bottle has an internal diameter of D = 6 cm, and an internal height of H₂ = 25cm. It is A% filled with water. The straw tip (outlet)H = H₂ + 3cm. The last time I opened the bottle before I departed was at LAX, where the atmospheric pressure wasP = B hPa. While waiting for my ride at Denver International Airport, atmospheric pressure? = C hPa, I opened the bottle again and water denver poured out through the straw due to the difference in pressure between the air trapped in the bottle and the thin Denver air. Figure 2 shows the bottle's configuration when I opened it. You could approximate this as flow through a pipe size reduction, as shown in Figure 3. LA A. Calculate the instantaneous flow rate at the moment I opened the bottle in Denver. The straw has an inside diameter of 1/2 cm. Provide your answer in cubic cm per second to three decimal places. State all assumptions. • If you treat the air pressure in Denver as 0, then the pressure in the bottle, for the purposes of this problem, would be the difference in pressure between LA and Denver B. How much water spills before the pressure in the bottle equalizes with the air pressure in Denver? Provide your answer in milliliters to three decimal places. State all assumptions. • Use the ideal gas law, PV = nRT, to find the volume of air in the bottle. The mass of gas inside the bottle and the temperature remains constant. That means nRT doesn't change, so PLAVLA = PDennerV Denner. NOTE: you don't need to know n or R! Don't waste your time. De H₂ I H₂

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
100%

Please show all your work neatly including finding the correct units.

for : A% = 40+51, so A =91%

for : P_LA=B hPa. B= 0+1012, so B = 1012

for : P_denver=C hPa. C=3+838, so C =841

 

I took a flight from Los Angeles to Denver, and I carried with me a closed water bottle of the type
that delivers water to me through a built-in straw (see Figure 1). The bottle has an internal
diameter of D = 6 cm, and an internal height of H = 25cm. It is A% filled with water. The straw
tip (outlet)H = H₂ + 3cm. The last time I opened the bottle before I departed was at LAX,
where the atmospheric pressure was? = B hPa. While waiting for my ride at Denver
International Airport, atmospheric pressure? = C hPa, I opened the bottle again and water
poured out through the straw due to the difference in pressure between the air trapped in the
bottle and the thin Denver air. Figure 2 shows the bottle's configuration when I opened it. You
could approximate this as flow through a pipe size reduction, as shown in Figure 3.
LA
denver
A. Calculate the instantaneous flow rate at the moment I opened the bottle in Denver. The straw
has an inside diameter of 1/2 cm. Provide your answer in cubic cm per second to three decimal
places. State all assumptions.
• If you treat the air pressure in Denver as 0, then the pressure in the bottle, for the
purposes of this problem, would be the difference in pressure between LA and Denver
B. How much water spills before the pressure in the bottle equalizes with the air pressure in
Denver? Provide your answer in milliliters to three decimal places. State all assumptions.
• Use the ideal gas law, PV = nRT, to find the volume of air in the bottle. The mass of gas
inside the bottle and the temperature remains constant. That means nRT doesn't change, so
PLAVLA = P Denver Denver NOTE: you don't need to know n or R! Don't waste your time.
AND
H₂
Transcribed Image Text:I took a flight from Los Angeles to Denver, and I carried with me a closed water bottle of the type that delivers water to me through a built-in straw (see Figure 1). The bottle has an internal diameter of D = 6 cm, and an internal height of H = 25cm. It is A% filled with water. The straw tip (outlet)H = H₂ + 3cm. The last time I opened the bottle before I departed was at LAX, where the atmospheric pressure was? = B hPa. While waiting for my ride at Denver International Airport, atmospheric pressure? = C hPa, I opened the bottle again and water poured out through the straw due to the difference in pressure between the air trapped in the bottle and the thin Denver air. Figure 2 shows the bottle's configuration when I opened it. You could approximate this as flow through a pipe size reduction, as shown in Figure 3. LA denver A. Calculate the instantaneous flow rate at the moment I opened the bottle in Denver. The straw has an inside diameter of 1/2 cm. Provide your answer in cubic cm per second to three decimal places. State all assumptions. • If you treat the air pressure in Denver as 0, then the pressure in the bottle, for the purposes of this problem, would be the difference in pressure between LA and Denver B. How much water spills before the pressure in the bottle equalizes with the air pressure in Denver? Provide your answer in milliliters to three decimal places. State all assumptions. • Use the ideal gas law, PV = nRT, to find the volume of air in the bottle. The mass of gas inside the bottle and the temperature remains constant. That means nRT doesn't change, so PLAVLA = P Denver Denver NOTE: you don't need to know n or R! Don't waste your time. AND H₂
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