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Chapter 5: Q. 5.78 (page 206)

Because osmotic pressures can be quite large, you may wonder whether the approximation made in equation5.74is valid in practice: Is μ0really a linear function of Pto the required accuracy? Answer this question by discussing whether the derivative of this function changes significantly, over the relevant pressure range, in realistic examples.

μ0T,P2≈μ0T,P1+P2-P1∂μ0∂P......equation(5.74)

Short Answer

Expert verified

If a solution has high density then it will produces more pressure than the solution of low density.

Step by step solution

01

Given information

We have been given the difference between pressures

02

Explanation

It does not matter how large the osmotic pressure is μ0T,P2≈μ0T,P1+P2-P1∂μ0∂P……equation(5.74),

If the pressure in two parts of the system does not change significantly,

So we can say that the derivative of the function does not change significantly.

Therefore, we can say that an approximation is good enough.

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