1.291 g sample contains only vitamin C and sucralose. What is the mass percent of Vitamin C and sucralose in the sample?

Question

1.291 g sample contains only vitamin C and sucralose. When the sample is dissolved in water to a total volume of 44.4 ml, the osmotic pressure of the solution is 3.21 at 291 K. What is the mass percent of Vitamin C and sucralose in the sample?

Answer 1

I believe both of the solutes are [molecular, so they will have the same effect on the osmotic pressure and their concentrations can be added as the effect is lnear.

π = CRT = (n_VA + n_S)RT/V = (m_VA/M_VA + m_S/V_s)RT/V

Assuming that the 3.1 is in atm and using m_S = 1.291 - m_A and isolating the term is parentheses

3.1 atm * .0444 liters/(.0821*291K) = m_VA/176.12g/mol + (1.291 - m_VA)/397.64 g/mole)

Solve fro m_VA and mass percent is (m_VA/1.291)*100

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