QUESTION 6 Using the figure below and given that the resistance in vessels A and B are equal, which of the following statements is correct? P, A P2 P = 100 mmHg P2 = 10 mmHg %3D В P2 P = 500 mmHg P2 = 410 mmHg Blood flow rate is equal in vessels A and B O Blood flow rate is greater in vessel B as compared to vessel A O Blood flow only occurs in vessel B due to the high pressures O Blood flow will occur from P2 to P1 in vessel A
QUESTION 6 Using the figure below and given that the resistance in vessels A and B are equal, which of the following statements is correct? P, A P2 P = 100 mmHg P2 = 10 mmHg %3D В P2 P = 500 mmHg P2 = 410 mmHg Blood flow rate is equal in vessels A and B O Blood flow rate is greater in vessel B as compared to vessel A O Blood flow only occurs in vessel B due to the high pressures O Blood flow will occur from P2 to P1 in vessel A
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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*Figure Description*:
- Two cylindrical vessels (pipes) labeled A and B are shown.
- Vessel A is labeled with \(P_1\) and \(P_2\) at either end with pressure values: \(P_1 = 100 \text{ mmHg}\) and \(P_2 = 10 \text{ mmHg}\).
- Vessel B is similarly labeled with \(P_1\) and \(P_2\) with pressure values: \(P_1 = 500 \text{ mmHg}\) and \(P_2 = 410 \text{ mmHg}\).
*Answer Options*:
- ☐ Blood flow rate is equal in vessels A and B
- ☐ Blood flow rate is greater in vessel B as compared to vessel A
- ☐ Blood flow only occurs in vessel B due to the high pressures
- ☐ Blood flow will occur from \(P_2\) to \(P_1\) in vessel A
**Explanation**:
Given the same resistance in vessels A and B, according to Poiseuille's law for fluid flow through a cylindrical vessel, the flow rate \(Q\) is proportional to the pressure gradient \(\Delta P\) (\( \Delta P = P_1 - P_2 \)).
In vessel A:
\[ \Delta P_A = P_1 - P_2 = 100 \text{ mmHg} - 10 \text{ mmHg} = 90 \text{ mmHg} \]
In vessel B:
\[ \Delta P_B = P_1 - P_2 = 500 \text{ mmHg} - 410 \text{ mmHg} = 90 \text{ mmHg} \]
Since the pressure gradients are equal (\( \Delta P_A = \Delta P_B \)) and the resistance \(R\) is also equal, the flow rate \(Q\) will be the same in both vessels (according to \( Q = \frac{\Delta P}{R} \)).
Therefore, the correct answer is:
- ☑ Blood flow rate is equal in vessels A and B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5382a60e-e4a7-49f2-aa78-01b9e78a4433%2F9b38757c-dcc0-472e-bfe9-f66227735295%2Fr5fpfu_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 6**
Using the figure below and given that the resistance in vessels A and B are equal, which of the following statements is correct?
*Figure Description*:
- Two cylindrical vessels (pipes) labeled A and B are shown.
- Vessel A is labeled with \(P_1\) and \(P_2\) at either end with pressure values: \(P_1 = 100 \text{ mmHg}\) and \(P_2 = 10 \text{ mmHg}\).
- Vessel B is similarly labeled with \(P_1\) and \(P_2\) with pressure values: \(P_1 = 500 \text{ mmHg}\) and \(P_2 = 410 \text{ mmHg}\).
*Answer Options*:
- ☐ Blood flow rate is equal in vessels A and B
- ☐ Blood flow rate is greater in vessel B as compared to vessel A
- ☐ Blood flow only occurs in vessel B due to the high pressures
- ☐ Blood flow will occur from \(P_2\) to \(P_1\) in vessel A
**Explanation**:
Given the same resistance in vessels A and B, according to Poiseuille's law for fluid flow through a cylindrical vessel, the flow rate \(Q\) is proportional to the pressure gradient \(\Delta P\) (\( \Delta P = P_1 - P_2 \)).
In vessel A:
\[ \Delta P_A = P_1 - P_2 = 100 \text{ mmHg} - 10 \text{ mmHg} = 90 \text{ mmHg} \]
In vessel B:
\[ \Delta P_B = P_1 - P_2 = 500 \text{ mmHg} - 410 \text{ mmHg} = 90 \text{ mmHg} \]
Since the pressure gradients are equal (\( \Delta P_A = \Delta P_B \)) and the resistance \(R\) is also equal, the flow rate \(Q\) will be the same in both vessels (according to \( Q = \frac{\Delta P}{R} \)).
Therefore, the correct answer is:
- ☑ Blood flow rate is equal in vessels A and B
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