Math 101

Question 1

What is the base of ln x?

Answer 1

log_ex

Question 2

what is the base of lg x

Answer 2

log ₁₀ x

Question 3

what powers of 10 do each of the following indicate:

centi

deci

kilo

micro

milli

nano

Answer 3

kilo 10³

centi 10^-1

deci 10 ^-2

milli 10^-3

micro 10^-6

nano 10^-9

Question 4

conversion factor for pounds to kg

Answer 4

1 kg = 2.2 lb

Question 5

conversion factor for inches to cm

Answer 5

1 in = 2.54 cm

Question 6

conversion for F to C

Answer 6

F = 9/5(C) +32

C= 5/9 (F-32)

Question 7

How is cc (cm³) related to mL?

Answer 7

1 cm³ = 1 ml

1 mL = 1/1000 L

Question 8

how much does 1 L of H₂O weigh in kg? 1 cc?

Answer 8

1 L = 1 kg

1 cc = 1 gm

Question 9

What are the units for pressure

Answer 9

1 atm =

101. 33 kPa
102. 3 mbar

760 mmHg

1033. 6 cmH₂0
1034. 7 psi

Question 10

what is the concentration of in a 1% solution

Answer 10

1 gm/1 dl

or

move decimal place 1 to right

i.e. 2 % = 20 mg/ml

Question 11

what is the concentration in 1:1,000

Answer 11

1 gm/1,000 ml

or 1000 mg/1000 ml

or 1 mg/ml

Question 12

How is mmHg related to torr?

Answer 12

1 torr = 1 mmHg

Question 13

what are the usual clinical units of measure for the following:

airway pressure

blood pressure

compressed gas pressure

Answer 13

airway = cmH₂O

blood = mmHg or Torr

gas = psi(g) or kPa

Question 14

what is an exponential process?

Answer 14

rate of change of quantity at any time is proportional to the quantity at that time?

Question 15

what is a time constant?

Answer 15

the time at which the process would have been complete had the initial rate of change continued

time constant = volume/flow

= V/Q

Question 16

What is a 1/2 life?

Answer 16

the time it takes to reduce the strength of a substance by 1/2

1/2 life = 0.69 time constant

Question 17

what are the time constant % changes

Answer 17

1 = 37% (left

2 = 13.5%

3 = 5 %

5 = 0.67 %

Question 18

a 50 % change in process involves how many time constants?

Answer 18

2

Question 19

what are the base units for

amount of substance

electric current

length

luminous intensity

mass

temperature

time

Answer 19

amount of substance = cubic meter (m³)

electric current = ampere (A)

length = meter (m)

luminous intensity = candela (cd)

mass = killogram (kg)

temperature = kelvin (K)

time = seconds (s)