During a blood transfusion,a needle is insert | vedclass

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(A) To allow the blood to enter the vein,the hydrostatic pressure exerted by the column of blood must be equal to the gauge pressure of the vein.The f

Vedclass · Accepted Answer

$0.192$

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(A) To allow the blood to enter the vein,the hydrostatic pressure exerted by the column of blood must be equal to the gauge pressure of the vein.The formula for hydrostatic pressure is $P = h ho g$,where:$P = 2000\,Pa$ (gauge pressure),$ho = 1.06 	imes 10^3\,kg/m^3$ (density of blood),$g = 9.8\,m/s^2$ (acceleration due to gravity).Rearranging the formula to solve for height $h$:$h = \frac{P}{ho g}$Substituting the values:$h = \frac{2000}{1.06 	imes 10^3 	imes 9.8}$$h = \frac{2000}{10388}$$h \approx 0.1925\,m$Rounding to three decimal places,we get $h = 0.192\,m$.

During a blood transfusion,a needle is inserted into a vein where the gauge pressure is $2000\,Pa$. At what height must the blood container be placed so that blood may just enter the vein (in $,m$)? (Density of blood $= 1.06 \times 10^3\,kg/m^3$ and take $g = 9.8\,m/s^2$).

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