Aglucose solution being administered with an iv has a flow rate of 1.86 cm3/min. what will the new flow rate be if the glucose is replaced by whole blood having the same density but a viscosity 2.70 times that of the glucose? all other factors remain constant.

Q' = 0.688 cm³/min

Explanation:

Given that initial flow rate

Q= 1.86 cm³/min

Lets final flow rate is Q' cm³/min

From Poiseuilles law for

      -------1

Where

ΔP=Pressure difference

L= Length

η=viscosity

r= Radius

Given that all other factor is same only viscosity become 2.7 η.

New viscosity, η'= 2.7  η

New discharge Q'

  ----2

Q' η' = Q  η

Form 1 and 2 equation

Q' x  2.7  η = 1.86 x  η

Q' = 0.688 cm³/min

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.