Question

The osmotic pressure of blood was 775 kPa at 37degress celcius. The concetration of glucose intravenous injection with the same osmotic pressure is :
A) 0.47mol • L (in power of -1)
B) 0,030mol • L (in power of -1)
C)0,047 mol • L (in power of -1)
D) 0,301 mol• L (in power of -1)
E) 3•10(in power of -3)

Answer 1

The osmotic pressure of blood was 775 kPa at 37 degrees celsius. The concentration of glucose intravenous injection with the same osmotic pressure is :

A) 0.47 mol • L (in power of -1)

B) 0,030 mol • L (in power of -1)

C) 0,047 mol • L (in power of -1)

D) 0,301 mol • L (in power of -1)

E) 3•10 (in power of -3)

Solution:

The osmotic pressure formula is

$$\pi = \mathrm{i} \mathrm{C R T};$$

(where $\mathbf{i}$ is the van 't Hoff index, $\mathbf{C}$ is the molar concentration of solute, $\mathbf{R}$ is the ideal gas constant, and $\mathbf{T}$ is the temperature in kelvins.)

As the glucose is the non-electrolyte, so for our case $\mathbf{i}$ quotient is equal to one.

We can express concentration from the above equation as:

$$C = \frac{\pi}{R T} = \frac{775 \, kPa}{8.31 \, \frac{kPa \cdot L}{K \cdot mol} \cdot (273 + 37) K} = 0.301 \, \mathrm{mol/L}$$

Answer:

The right answer is D.

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