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Osmotic pressure of insulin solution at 298 K is found to be 0.0072 atm at 298 K. Hence, height of water column due to this pressure is (density of mercury = 13.6 g mL-1)
  • a)
    0.76 cm
  • b)
    0.70 cm
  • c)
    7.44 cm 
  • d)
    76 cm
Correct answer is option 'C'. Can you explain this answer?
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Osmotic pressure of insulin solution at 298 K is found to be 0.0072 at...
Given:
Osmotic pressure of insulin solution at 298 K = 0.0072 atm
Density of mercury = 13.6 g/mL

To find:
Height of water column due to this pressure

Formula:
The height of a liquid column due to a pressure difference can be calculated using the equation:

h = (P * d * g) / (ρ * g)

where,
h = height of the liquid column
P = pressure difference
d = density of the liquid
g = acceleration due to gravity
ρ = density of the fluid

Calculation:
Given that the osmotic pressure of the insulin solution is 0.0072 atm, we can convert it to units of cm of Hg (mercury) using the conversion factor:

1 atm = 76 cm Hg (approximately)

So, the osmotic pressure of the insulin solution in cm Hg is:

0.0072 atm * 76 cm Hg/atm = 0.5472 cm Hg

Now, we can calculate the height of the water column using the formula:

h = (P * d * g) / (ρ * g)

Substituting the values:

h = (0.5472 cm Hg * 13.6 g/mL * 9.8 m/s^2) / (1 g/cm^3 * 9.8 m/s^2)

Simplifying the equation:

h = (0.5472 cm Hg * 13.6 g/mL) / (1 g/cm^3) = 7.4432 cm

The height of the water column due to the osmotic pressure of the insulin solution is approximately 7.44 cm.

Therefore, the correct answer is option C) 7.44 cm.
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Osmotic pressure of insulin solution at 298 K is found to be 0.0072 atm at 298 K. Hence, height of water column due to this pressure is (density of mercury = 13.6 g mL-1)a)0.76 cmb)0.70cmc)7.44cmd)76cmCorrect answer is option 'C'. Can you explain this answer?
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