The osmotic pressure of a solution containing 7.0 g of insulin per liter is 23 torr at 25ºC. What is the molar mass of insulin? (1 atm = 760 torr)

Here we're told that the osmotic pressure of a solution containing 7 grams of insulin per liter is 23 tors at 25 degrees Celsius. What is the molar mass of insulin? Here we're given the conversion factor that 1 atmosphere equals 760 tors. Alright. So remember that molar mass equals grams per mole. So technically, we already have a portion of this determined because we know we have 7 grams of insulin. What we need to do here is determine the moles of insulin. To do that, we're gonna use the osmotic pressure formula. So osmotic pressure equals I times m r t. Alright. So we're gonna convert the 23 tors into atmospheres because osmotic pressure should be in atmospheres. So that is 760 torres per 1 atmosphere. So that comes out to 0.030 263 atmospheres. Here, insulin is a biological molecule, so it is covalent in nature. Therefore, I is 1. Then we don't know the moles of insulin, that's what we need to determine. And they're saying per liter, so that means there's just 1 liter here. R is our gas constant. T is our temperature in Kelvin, so add 2 73.15 to 25 degrees Celsius to give us Kelvin. Alright. Now we just have to solve for x. So multiply r times the temperature. So when we get that we're gonna get 0.030263 equals so when I multiply those 2 together, that's 24.466189, and they're still multiplying with x. Divide both sides now by 24.466189, and that'll give us our x. So here, x equals 0.00123693 moles. Take those moles and plug them in here to find our molar mass at the end. So then when I do that, I'm gonna get my molar mass at the end being equal to approximately 5.7 times 10 to the 3 grams per mole for the molar mass of insulin. So that would be our final answer.

The osmotic pressure of a solution containing 7.0 g of insulin pe...

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The osmotic pressure of a solution containing 7.0 g of insulin per liter is 23 torr at 25ºC. What is the molar mass of insulin? (1 atm = 760 torr)

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