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CHAP. 12]                                 GASES                                       185


                                                  Solved Problems

            INTRODUCTION
               12.1.  What is the difference between gas and gasoline?
                     Ans.  Gas is a state of matter. Gasoline is a liquid, used mainly for fuel, with a nickname gas. Do not confuse the
                          two. This chapter is about the gas phase, not about liquid gasoline.

               12.2.  What is a fluid?
                     Ans.  A gas or a liquid.


               PRESSURE OF GASES
               12.3.  Change 806 mmHg to (a) torr, (b) atmospheres, and (c) kilopascals.

                                                 1 atm                      101.3kPa
                     Ans.  (a) 806 torr (b) 806 torr   = 1.06 atm  (c) 1.06 atm       = 107 kPa
                                                760 torr                      1 atm
               12.4. Change (a) 703 torr to atmospheres, (b) 1.25 atm to torr, (c) 743 mmHg to torr, and (d) 1.01 atm to
                     millimeters of mercury (mmHg).

                                       1 atm                                     1 torr

                     Ans.  (a) 703 torr       = 0.925 atm         (c)  743 mmHg         = 743 torr
                                      760 torr                                  1 mmHg

                                       760 torr                               760 mmHg
                           (b)1.25 atm         = 950 torr         (d)1.01 atm           = 768 mmHg
                                        1 atm                                   1 atm
               12.5. How many pounds force does 1 atm pressure exert on the side of a metal can that measures 6.0 in. by
                                            2
                     9.0 in.? (1 atm = 14.7 lb/in. )
                     Ans.                            Area = 6.0in. × 9.0in. = 54 in. 2

                                                        14.7lb
                                                                              2
                                                 54 in. 2      = 790 lb = 7.9 × 10 lb
                                                        1in. 2
               BOYLE’SLAW
               12.6. What law may be stated qualitatively as “When you squeeze a gas, it gets smaller”?
                     Ans.  Boyle’slaw

               12.7. Calculate the product of the pressure and volume for each point in Table 12-1. What can you conclude?
                     Ans.  PV = 8.0L·atm in each case. You can conclude that PV is a constant for this sample of gas and that Boyle’s
                           law is obeyed.

               12.8. If 4.00 L of gas at 1.22 atm is changed to 876 torr at constant temperature, what is its final volume?


                                                             760 torr
                     Ans.                            1.22 atm        = 927 torr
                                                              1 atm
                                                            P 1 V 1 = P 2 V 2
                                                            (927 torr)(4.00 L)
                                                      P 1 V 1
                                                 V 2 =    =               = 4.23 L
                                                       P 2      876 torr
               12.9.  If 1.25 L of gas at 780 torr is changed to 965 mL at constant temperature, what is its final pressure?
                                                          (780 torr)(1250 mL)
                                                    P 1 V 1
                     Ans.                       P 2 =   =                 = 1010 torr
                                                     V 2       965 mL
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