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Resp Math Practice (2510 M4)

Total questions: 48

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

Calculate the airway resistance (Raw) when a ventilated patient's Peak Inspiratory Pressure (PIP) is 40 cm H2O, Plateau Pressure (Pplat) is 20 cm H2O, Flow is 60 L/min, Tidal Volume is 500 ml, Set Rate is 12 breaths/min, FiO2 is 0.6, and PEEP is 5 cm H2O.

a)

5 cm H2O/L/s

b)

10 cm H2O/L/s

c)

15 cm H2O/L/s

d)

20 cm H2O/L/s

2.

A patient's PIP is 35 cm H2O, Pplat is 25 cm H2O, Flow is 50 L/min, Tidal Volume is 550 ml, Set Rate is 15 breaths/min, FiO2 is 0.4, and PEEP is 8 cm H2O. What is the calculated airway resistance (Raw)?

a)

6 cm H2O/L/s

b)

12 cm H2O/L/s

c)

18 cm H2O/L/s

d)

22 cm H2O/L/s

3.

Given PIP of 45 cm H2O, Pplat of 30 cm H2O, Flow of 40 L/min, Tidal Volume of 600 ml, Set Rate of 10 breaths/min, FiO2 of 0.5, and PEEP of 7 cm H2O, what is the airway resistance (Raw)?

a)

4 cm H2O/L/s

b)

22 cm H2O/L/s

c)

14 cm H2O/L/s

d)

10 cm H2O/L/s

4.

Calculate the airway resistance (Raw) for a patient with PIP of 38 cm H2O, Pplat of 22 cm H2O, Flow of 70 L/min, Tidal Volume of 480 ml, Set Rate of 18 breaths/min, FiO2 of 0.7, and PEEP of 6 cm H2O.

a)

4 cm H2O/L/s

b)

14 cm H2O/L/s

c)

10 cm H2O/L/s

d)

7 cm H2O/L/s

5.

With PIP at 42 cm H2O, Pplat at 28 cm H2O, Flow at 60 L/min, Tidal Volume at 520 ml, Set Rate at 20 breaths/min, FiO2 at 0.6, and PEEP at 10 cm H2O, what is the calculated airway resistance (Raw)?

a)

8 cm H2O/L/s

b)

28 cm H2O/L/s

c)

22 cm H2O/L/s

d)

14 cm H2O/L/s

6.

A patient exhibits a PIP of 36 cm H2O, Pplat of 32 cm H2O, Flow of 60 L/min, Tidal Volume of 560 ml, Set Rate of 16 breaths/min, FiO2 of 0.8, and PEEP of 9 cm H2O. What is the airway resistance (Raw)?

a)

32 cm H2O/L/s

b)

16 cm H2O/L/s

c)

8 cm H2O/L/s

d)

4 cm H2O/L/s

7.

Given PIP of 37 cm H2O, Pplat of 27 cm H2O, Flow of 60 L/min, Tidal Volume of 540 ml, Set Rate of 14 breaths/min, FiO2 of 0.5, and PEEP of 7 cm H2O, what is the calculated airway resistance (Raw)?

a)

5 cm H2O/L/s

b)

10 cm H2O/L/s

c)

15 cm H2O/L/s

d)

20 cm H2O/L/s

8.

Calculate the airway resistance (Raw) for a patient with PIP at 41 cm H2O, Pplat at 26 cm H2O, Flow at 60 L/min, Tidal Volume at 590 ml, Set Rate at 17 breaths/min, FiO2 at 0.6, and PEEP at 8 cm H2O.

a)

5 cm H2O/L/s

b)

15 cm H2O/L/s

c)

10 cm H2O/L/s

d)

20 cm H2O/L/s

9.

With PIP of 46 cm H2O, Pplat of 31 cm H2O, Flow of 60 L/min, Tidal Volume of 520 ml, Set Rate of 15 breaths/min, FiO2 of 0.7, and PEEP of 9 cm H2O, what is the calculated airway resistance (Raw)?

a)

5 cm H2O/L/s

b)

15 cm H2O/L/s

c)

10 cm H2O/L/s

d)

20 cm H2O/L/s

10.

A patient exhibits a PIP of 24 cm H2O, Pplat of 21cm H2O, Flow of 60 L/min, Tidal Volume of 550 ml, Set Rate of 13 breaths/min, FiO2 of 0.8, and PEEP of 6 cm H2O. What is the airway resistance (RAW)?

a)

20 cm H2O/L/s

b)

12 cm H2O/L/s

c)

6 cm H2O/L/s

d)

3 cm H2O/L/s

11.

Calculate the dynamic airway compliance (Cdyn) when a ventilated patient's Peak Inspiratory Pressure (PIP) is 35 cm H2O, Plateau Pressure (Pplat) is 20 cm H2O, Flow is 45 L/min, Tidal Volume is 500 ml, Set Rate is 15 breaths/min, FiO2 is 0.4, and PEEP is 8 cm H2O.

a)

3 mL/cm H2O

b)

6 mL/cm H2O

c)

18 mL/cm H2O

d)

12 mL/cm H2O

12.

A patient's PIP is 40 cm H2O, Pplat is 25 cm H2O, Flow is 50 L/min, Tidal Volume is 550 ml, Set Rate is 12 breaths/min, FiO2 is 0.5, and PEEP is 7 cm H2O. What is the calculated dynamic airway compliance (Cdyn)?

a)

17 mL/cm H2O

b)

13 mL/cm H2O

c)

23 mL/cm H2O

d)

6 mL/cm H2O

13.

Given PIP of 38 cm H2O, Pplat of 23 cm H2O, Flow of 60 L/min, Tidal Volume is 480 ml, Set Rate is 16 breaths/min, FiO2 is 0.6, and PEEP is 6 cm H2O, what is the dynamic airway compliance (Cdyn)?

a)

24 mL/cm H2O

b)

15 mL/cm H2O

c)

19 mL/cm H2O

d)

9 mL/cm H2O

14.
Calculate the dynamic airway compliance (Cdyn) for a patient with PIP at 42 cm H2O, Pplat at 26 cm H2O, Flow at 10 L/min, Tidal Volume is 520 ml, Set Rate is 14 breaths/min, FiO2 is 0.7, and PEEP is 9 cm H2O.
a)

8 mL/cm H2O

b)

11 mL/cm H2O

c)

16 mL/cm H2O

d)

13 mL/cm H2O

15.

With PIP at 46 cm H2O, Pplat at 30 cm H2O, Flow at 65 L/min, Tidal Volume is 560 ml, Set Rate is 18 breaths/min, FiO2 is 0.8, and PEEP is 5 cm H2O, what is the calculated dynamic airway compliance (Cdyn)?

a)

21.5 mL/cm H2O

b)

13.5mL/cm H2O

c)

17.5 mL/cm H2O

d)

10.5 mL/cm H2O

16.

A patient exhibits a PIP of 37 cm H2O, Pplat of 26 cm H2O, Flow at 70 L/min, Tidal Volume is 540 ml, Set Rate is 16 breaths/min, FiO2 is 0.6, and PEEP is 18 cm H2O. What is the dynamic airway compliance (Cdyn)?

a)

28 mL/cm H2O

b)

21 mL/cm H2O

c)

16 mL/cm H2O

d)

11 mL/cm H2O

17.

Calculate the dynamic airway compliance (Cdyn) for a patient with PIP at 21 cm H2O, Pplat at 16 cm H2O, Flow at 40 L/min, Tidal Volume is 580 ml, Set Rate is 20 breaths/min, FiO2 is 0.7, and PEEP is 7 cm H2O.

a)

11 mL/cm H2O

b)

21 mL/cm H2O

c)

31 mL/cm H2O

d)

41 mL/cm H2O

18.

Given PIP of 39 cm H2O, Pplat of 24 cm H2O, Flow at 45 L/min, Tidal Volume is 600 ml, Set Rate is 14 breaths/min, FiO2 is 0.5, and PEEP is 10 cm H2O, what is the calculated dynamic airway compliance (Cdyn)?

a)

11 mL/cm H2O

b)

41 mL/cm H2O

c)

21 mL/cm H2O

d)

31 mL/cm H2O

19.

A patient has a PIP of 19cm H2O, Pplat of 17 cm H2O, Flow at 50 L/min, Tidal Volume is 520 ml, Set Rate is 17 breaths/min, FiO2 is 0.8, and PEEP is 6 cm H2O. What is the dynamic airway compliance (Cdyn)?

a)

40 mL/cm H2O

b)

30 mL/cm H2O

c)

20 mL/cm H2O

d)

10 mL/cm H2O

20.

Calculate the dynamic airway compliance (Cdyn) for a patient with PIP at 41 cm H2O, Pplat at 27 cm H2O, Flow at 60 L/min, Tidal Volume is 560 ml, Set Rate is 19 breaths/min, FiO2 is 0.6, and PEEP is 7 cm H2O.

a)

27 mL/cm H2O

b)

16 mL/cm H2O

c)

19 mL/cm H2O

d)

24 mL/cm H2O

21.

Calculate the static compliance (Cstat) when a ventilated patient's Peak Inspiratory Pressure (PIP) is 30 cm H2O, Plateau Pressure (Pplat) is 20 cm H2O, Flow is 40 L/min, Tidal Volume is 500 ml, Set Rate is 15 breaths/min, FiO2 is 0.4, and PEEP is 5 cm H2O.

a)

33 mL/cm H2O

b)

38 mL/cm H2O

c)

46 mL/cm H2O

d)

81 mL/cm H2O

22.

A patient's PIP is 38 cm H2O, Pplat is 28 cm H2O, Flow is 65 L/min, Tidal Volume is 600 ml, Set Rate is 12 breaths/min, FiO2 is 0.5, and PEEP is 8 cm H2O. What is the calculated static compliance (Cstat)?

a)

20 mL/cm H2O

b)

30 mL/cm H2O

c)

35 mL/cm H2O

d)

25 mL/cm H2O

23.

Given PIP of 36 cm H2O, Pplat of 24 cm H2O, Flow is 70 L/min, Tidal Volume is 550 ml, Set Rate is 16 breaths/min, FiO2 is 0.6, and PEEP is 6 cm H2O, what is the static compliance (Cstat)?

a)

31 L/cm H2O

b)

36 L/cm H2O

c)

41 L/cm H2O

d)

48 L/cm H2O

24.

Calculate the static compliance (Cstat) for a patient with PIP at 42 cm H2O, Pplat at 30 cm H2O, Flow is 40 L/min, Tidal Volume is 360 ml, Set Rate is 14 breaths/min, FiO2 is 0.7, and PEEP is 9 cm H2O.

a)

25 mL/cm H2O

b)

17 mL/cm H2O

c)

13 mL/cm H2O

d)

21 mL/cm H2O

25.

With PIP at 40 cm H2O, Pplat at 26 cm H2O, Flow is 45 L/min, Tidal Volume is 420 ml, Set Rate is 18 breaths/min, FiO2 is 0.8, and PEEP is 14 cm H2O, what is the calculated static compliance (Cstat)?

a)

35 mL/cm H2O

b)

40 mL/cm H2O

c)

45 mL/cm H2O

d)

50 mL/cm H2O

26.

A patient exhibits a PIP of 35 cm H2O, Pplat of 23 cm H2O, Flow is 50 L/min, Tidal Volume is 540 ml, Set Rate is 16 breaths/min, FiO2 is 0.6, and PEEP is 8 cm H2O. What is the static compliance (Cstat)?

a)

36 mL/cm H2O

b)

52 mL/cm H2O

c)

23 mL/cm H2O

d)

17 mL/cm H2O

27.

Calculate the static compliance (Cstat) for a patient with PIP at 24 cm H2O, Pplat at 18 cm H2O, Flow is 55 L/min, Tidal Volume is 580 ml, Set Rate is 20 breaths/min, FiO2 is 0.7, and PEEP is 10 cm H2O.

a)

12 mL/cm H2O

b)

21 mL/cm H2O

c)

73 mL/cm H2O

d)

54 mL/cm H2O

28.

Given PIP of 39 cm H2O, Pplat of 25 cm H2O, Flow is 60 L/min, Tidal Volume is 600 ml, Set Rate is 14 breaths/min, FiO2 is 0.5, and PEEP is 10 cm H2O, what is the calculated static compliance (Cstat)?

a)

20 mL/cm H2O

b)

30 mL/cm H2O

c)

40 mL/cm H2O

d)

50 mL/cm H2O

29.

A patient has a PIP of 37 cm H2O, Pplat of 26 cm H2O, Flow is 65 L/min, Tidal Volume is 520 ml, Set Rate is 17 breaths/min, FiO2 is 0.8, and PEEP is 6 cm H2O. What is the static compliance (Cstat)?

a)

26 mL/cm H2O

b)

21 mL/cm H2O

c)

17 mL/cm H2O

d)

13 mL/cm H2O

30.

Calculate the static compliance (Cstat) for a patient with PIP at 21 cm H2O, Pplat at 16 cm H2O, Flow is 70 L/min, Tidal Volume is 630 ml, Set Rate is 19 breaths/min, FiO2 is 0.6, and PEEP is 8 cm H2O.

a)

14 mL/cm H2O

b)

79 mL/cm H2O

c)

30 mL/cm H2O

d)

51 mL/cm H2O

31.

What is the A-a Gradient with the following values: Pb: 760, PIP 30 cmH2O, Pplat 25 cmH2O, Flow 40 L/min, TV 500 mL, Set Rate 12 bpm, FiO2 0.40, PEEP 5 cmH2O, PaCO2: 46, PaO2: 80

a)

148

b)

202

c)

112

d)

63

32.

Determine the A-a Gradient given: Pb: 760 PIP 28 cmH2O, Pplat 22 cmH2O, Flow 45 L/min, TV 550 mL, Set Rate 14 bpm, FiO2 0.35, PEEP 6 cmH2O, PaCO2: 41, PaO2: 93

a)

167

b)

133

c)

105

d)

119

33.

What is the A-a Gradient for the provided data: Pb: 760, PIP 32 cmH2O, Pplat 27 cmH2O, Flow 50 L/min, TV 600 mL, Set Rate 10 bpm, FiO2 0.70, PEEP 7 cmH2O, PaCO2: 77, PaO2: 43?

a)

247

b)

360

c)

128

d)

81

34.

What is the A-a Gradient for the following values: Pb: 760, PIP 34 cmH2O, Pplat 28 cmH2O, Flow 7 L/min, TV 480 mL, Set Rate 15 bpm, FiO2 0.60, PEEP 4 cmH2O, PaCO2: 68, PaO2: 60

a)

283

b)

300

c)

326

d)

343

35.

Patient Data:

  • PaO2: 60 mmHg, FiO2: 0.21, PaCO2: 40 mmHg

  • Barometric Pressure: 760 mmHg

What is the patient's condition based on the A-a gradient?

a)

Normal

b)

V/Q Mismatch

c)

Shunt

d)

Hyperventilation

36.

Patient Data:

  • PaO2: 90 mmHg, FiO2: 0.50, PaCO2: 35 mmHg

  • Barometric Pressure: 760 mmHg

What is the patient's condition based on the A-a gradient?

a)

Normal

b)

V/Q Mismatch

c)

Shunt

d)

Hypoventilation

37.

Patient Data:

  • PaO2: 55 mmHg, FiO2: 1.0, PaCO2: 45 mmHg

  • Barometric Pressure: 760 mmHg

What is the patient's condition based on the A-a gradient?

a)

Normal

b)

V/Q Mismatch

c)

Shunt

d)

Metabolic Acidosis

38.
What is the ideal body weight for a 5'8" (68 inches) tall male in kilograms?
a)

66 kg

b)

58 kg

c)

70 kg

d)

74 kg

39.
Calculate the ideal body weight for a 5'4" (64 inches) tall female in kilograms.
a)

51.5 kg

b)

56.8 kg

c)
63.6 kg
d)
68.2 kg
40.
Find the ideal body weight for a 6'2" (74 inches) tall male in kilograms.
a)

81.8 kg

b)
72.7 kg
c)
86.4 kg
d)

93.2 kg

41.
Determine the ideal body weight for a 5'6" (66 inches) tall female in kilograms.
a)

71.8 kg

b)
64.8 kg
c)

61.4 kg

d)
52.7 kg
42.
What should you do if you see a sawtooth pressure waveform?
a)
Decrease PEEP
b)
Assess for water in the tubing
c)
Increase tidal volume
d)
Reduce inspiratory time
43.

If you observe an m-shaped pressure waveform, what should you do for troubleshooting?

a)
Increase inspiratory flow
b)
Check for patient-ventilator asynchrony
c)
Reduce tidal volume
d)
Increase PEEP
44.
Calculate the P/F ratio for FiO2 0.4 and PaO2 75 mm Hg. What is the ARDS classification?
a)
Mild ARDS
b)
Moderate ARDS
c)
Severe ARDS
d)
Pretty bad
45.
Determine the P/F ratio for FiO2 0.6 and PaO2 100 mm Hg. What is the ARDS classification?
a)
Mild ARDS
b)
Moderate ARDS
c)
Severe ARDS
d)
Pretty bad
46.
Find the P/F ratio for FiO2 0.8 and PaO2 85 mm Hg. What is the ARDS classification?
a)
Mild ARDS
b)
Moderate ARDS
c)
Severe ARDS
d)
Pretty bad
47.

Calculate the P/F ratio for FiO2 0.7 and PaO2 60 mm Hg. What is the ARDS classification?

a)
Mild ARDS
b)
Moderate ARDS
c)
Severe ARDS
d)
Pretty bad
48.
Determine the P/F ratio for FiO2 0.7 and PaO2 90 mm Hg. What is the ARDS classification?
a)
Mild ARDS
b)
Moderate ARDS
c)
Severe ARDS
d)
Pretty bad