A certain gas obeys the van der Waals equation with a = 0.50 m6 Pa mol−2. Its molar volume is found to be 5.00 × 10–4 m3 mol−1 at 273 K and 3.0 MPa. From this information calculate the van der Waals constant b. What is the compression factor for this gas at the prevailing temperature and pressure?

a

The value is

b

Explanation:

Generally the pressure of the gas  is mathematically represented as

Substituting for R , 273K for  T  , for   ,   for a  and   for P

We have

=>  

Generally the compression factor is mathematically represented as

=>  

=>    

d. temperate deciduous forest

i believe you are right for all except the 3rd ( look at sqdancefan his answer is much better)