The coefficient of thermal expansion α = (1/V)(∂V/∂T)p. Using the equation of state, compute the value of α for an ideal gas. The coefficient of compressibility β is define by β = -(1/V)(∂V/∂p)T. Compute the value of β for an ideal gas. For an ideal gas, express the derivative (∂p/∂T)v in terms of α and β. Do the same derivative for van der Waals gas.

The coefficient of thermal expansion α is  

The coefficient of compressibility

Now  considering

From equation (1) we have that

From  ideal equation

So

=>  

=>  

Explanation:

From the question we are told that

   The  coefficient of thermal expansion is

    The coefficient of compressibility is

Generally the ideal gas is  mathematically represented as

=>      

differentiating both side with respect to T at constant P

substituting the equation above into

Recall from ideal gas equation  

So

Now differentiate equation (1) above with respect to  P  at constant T

substituting the above  equation into equation of

Recall from ideal gas equation that

So

Now  considering

From equation (1) we have that

From  ideal equation

So

=>  

=>  

i have a feeling this is a gay person trolling to make straights look bad.

one negative thing it that it can kill water animals. another negative thing is it can cause the destruction of ecosystem. one way water pollution can be reduced is to conserve energy.