A resting adult requires about 240-mL of pure oxygen/min andbreathes about 12 times every minute. If inhaled air contains 21percent oxygen by volume a

aortiH

aortiH

Answered question

2020-11-20

A resting adult requires about 240-mL of pure oxygen/min andbreathes about 12 times every minute. If inhaled air contains 21percent oxygen by volume and exhaled air is 16 percent oxygen byvolume, what is the volume of air per breath? (Assume that thevolume of inhaled air is equal to that of exhaled air) Comments

Answer & Explanation

cyhuddwyr9

cyhuddwyr9

Skilled2020-11-21Added 90 answers

1. A resting adult requires about240-mL of pure oxygen/min and breathes about 12 times every minute.If inhaled air contains 21 percent oxygen by volume and exhaled airis 16 percent oxygen by volume, what is the volume of air perbreath? (Assume that the volume of inhaled air is equal to that ofexhaled air) oxygen reqd.= 240 ml/mt.
no.of breaths = 12/mt
oxygen reqd./breath =24012 = 20 ml.
oxygen in inhaled air = 21% =21100=0.21
hence air reqd. to inhale =200.21=200021
air exhaled = air inhaled =200021
oxygen in exhaled air = 16%=0.16
oxygen in exhaled air =2000×0.1621=15.24
2. 24012=20mL
of oxygen/min
20mL=.37x
20mL = .37x (x=total volume per breath)
x=54.05
54.05-34mL=34.05mL
Because there is only 2 sig fig the answer is34mL volume air per breath.
I think thats right.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-12Added 2605 answers

12 times breathe give 240 ml of pure O2. Each breathe gives 20 ml of  O2.

Let us consider, volume of air per breathe= x ml.

Pure  O2 from inhaled air= 20100x ml and Pure O2 from exhaled air= 16100x ml.

Pure O2 from inhaled and exhaled air= 20 ml

So, 20100x+16100x=20

Therefore, x = 55.5 ml

So, volume of air per breath= 55.5 ml.

alenahelenash

alenahelenash

Expert2023-06-15Added 556 answers

Step 1:
Let V represent the volume of air per breath (in mL).
The amount of oxygen inhaled per minute can be calculated as follows:
{Oxygen inhaled per minute}={Volume of inhaled air per minute}×{Oxygen concentration in inhaled air}
Given that a resting adult requires about 240 mL of pure oxygen per minute and the oxygen concentration in inhaled air is 21%, we can write:
240=12V×0.21
Simplifying the equation, we have:
12V=2400.21
Step 2:
Next, we need to calculate the amount of oxygen exhaled per minute. Since the volume of inhaled air is equal to that of exhaled air, the volume of exhaled air per minute is also 12V. The oxygen concentration in exhaled air is given as 16%. Therefore, the oxygen exhaled per minute can be expressed as:
{Oxygen exhaled per minute}={Volume of exhaled air per minute}×{Oxygen concentration in exhaled air}
240=12V×0.16
Simplifying the equation, we have:
12V=2400.16
Solving the above equations, we find:
V=240/0.2112=240/0.1612
Hence, the volume of air per breath is:
V=240/0.2112=240/0.1612
Therefore, the volume of air per breath is approximately 240/0.2112 mL, which is also approximately 240/0.1612 mL.
star233

star233

Skilled2023-06-15Added 403 answers

The volume of inhaled air containing 21% oxygen by volume can be expressed as:
0.21×V
Similarly, the volume of exhaled air containing 16% oxygen by volume is:
0.16×V
Since the volume of inhaled air is equal to that of exhaled air, we can equate these two expressions:
0.21×V=0.16×V
To solve for V, we can cancel out the common factor of V:
0.21=0.16
Dividing both sides of the equation by 0.16, we get:
0.210.16=0.160.16
Simplifying this equation gives us the value of V:
V=0.210.16
Therefore, the volume of air per breath is 0.210.16 mL, which is approximately 1.3125 mL.
karton

karton

Expert2023-06-15Added 613 answers

Result:
95.24 mL
Solution:
Let's denote the volume of air per breath as Vbreath.
The amount of oxygen inhaled per minute can be calculated as follows:
{Oxygen inhaled per minute}={Oxygen per breath}×{Breaths per minute}
The oxygen per breath can be calculated by multiplying the volume of air per breath with the oxygen content in inhaled air:
{Oxygen per breath}=Vbreath×{Oxygen content in inhaled air}
Given that the oxygen content in inhaled air is 21%, we can express it as a decimal fraction (0.21).
Similarly, the oxygen content in exhaled air is 16%, which can be expressed as 0.16.
Since the volume of inhaled air is equal to that of exhaled air, we have:
Vinhaled air=Vexhaled air=Vbreath
We know that the total volume of air per minute is the volume of air per breath multiplied by the number of breaths per minute:
{Total volume of air per minute}=Vbreath×{Breaths per minute}
Given that a resting adult requires about 240 mL of pure oxygen per minute, we can equate the two expressions for the oxygen inhaled per minute:
Vbreath×{Oxygen content in inhaled air}×{Breaths per minute}=240mL
Now, we can solve this equation to find the volume of air per breath.
Vbreath=240mLOxygen content in inhaled air×Breaths per minute
Substituting the given values:
Vbreath=240mL0.21×12
Simplifying further:
Vbreath=240mL2.52
Therefore, the volume of air per breath is approximately:
Vbreath≈95.24mL
So, the volume of air per breath is approximately 95.24 mL.

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