# All Equations Flashcards

Stored energy/ Potential energy moving object

1/2 mass x velocity [squared]

metabolic contents

ie. Energy released when 1 Kg glucose is metabolised to CO2 and water (the metabolic energy content of glucose is approximately 16 kJ g-1)

convert all to grams.

relates to the metabolic energy content of carbohydrate = 1000 x 16 000 = 16 MJ

Energy used in heating

ie. Raising the temperature of 25 Kg water from 0 ° C to 100 ° C (the specific heat capacity of water is approximately 4 kJ per Kg per ° C)

relates to specific heat capacity = mass x SHC x temperature change.

convert to grams for ° C or all to joules

= 25 x (4 x 1000) x 100 = 1, 000, 000 / 100, 000 = 10 MJ

Potential energy of a mass raised

ie. Raising a 1000 Kg mass to a height of 1 Km against gravity (acceleration due to gravity = g = 10 m s-2)

relates to potential energy = mass x gravity x height

= 1000 x 10 x 1000 = 10 MJ

electrical energy?

ie. The heat generated when a direct current of 10 amps flows through a heating element for 100 seconds when the potential difference across the element is 10 000 volts

Power = VI or I [squared] R (seconds)

relates to electrical energy = IV x seconds = 10 x 10 000 x 100 = 10 MJ

Vd?

D / C

Dose / concentration at time zero

OR

T = Vd/ Cl therefore Vd = time constant x clearance

time constant?

= 1/ rate constant

OR

= Vd/ Clearance

Clearance?

Vd / time constant

Loading dose?

Vd x plasma concentration

Maintenance dose?

plasma concentration x clearance

pressure

force / area

Reynolds number

viscosity

lower reynolds ( <2000) = laminar

Hagen- Pouseuille Equation

For laminar flow.

Pi x pressure x diameter^4 Flow = ----------------------------------------------------- 128 x viscosity x length

Boyle’s Law

K - constant

PV = K

Charles Law

K = V/T