Suppose you are calculating the volume of an object using the following formula: 2.45 cm × 3.2 cm × 4.078 cm. what is the volume of the object expressed to the correct number of significant digits?

Volume of an object  =

Now, according to significant figures rules of multiplication,  the least number of the significant figures present in the question, determines the least number of significant figures in the solution.

Here, 3.2 cm has the least number of significant figures i.e. 2; therefore, the answer must be in only two significant figures.

Thus, volume of an object =

Round off the value of volume into two significant figures only, we get

Volume of an object  =(two significant figures)

answer : (a) volume of the gas = 8.67 ×   l

                (b) second virial coefficient b = -1.21226 l/mole

solution :   given,     t = 300k

                                p = 20atm

                                z = 0.86

                                n = 8.2 mmoles = 8.2 × moles

                                r =   0.082 l atm/k/mol

        find,     (a) volume of gas   and (b) second virial coefficient b at 300k.

formula used :            

                          and            

(a)            

                    = \times 0.082\times 300}{20}[/tex]

                    = 8.67 ×   l

(b)      

                    = (0.00867-1) × 8.659

                    = - 8.5839 l/mole