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A) If 4.90 L of CO2 gas at 16 ?C at 779 mmHg is used, what is the final volume,

ID: 704303 • Letter: A

Question

A) If 4.90 L of CO2 gas at 16 ?C at 779 mmHg is used, what is the final volume, in liters, of the gas at 39 ?C and a pressure of 755 mmHg , if the amount of CO2 remains the same?

B) A sample of methane (CH4) has a volume of 28 mL at a pressure of 0.74 atm . What is the final volume, in milliliters, of the gas at each of the following pressures, if there is no change in temperature and amount of gas? 0.24atm and 2.80atm

C) A gas has a volume of 3.60 L at 0 ?C. What final temperature, in degrees Celsius, is needed to change the volume of the gas to each of the following, if n and P do not change?

1.30 L , 1800mL, 61mL

Explanation / Answer

A.    Initial                                                               Final

     P1 = 779mmHg                                               P2 = 755mmHg

    V1   = 4.9L                                                         V2   =

     T1   = 16+273    = 289K                                    T2 = 39+273 = 312K

             P1V1/T1      =    P2V2/T2

                  V2          = P1V1T2/T1P2

                                  = 779*4.9*312/289*755   = 5.46L

Initial                                           Final

             P1 = 0.74atm                              P2 = 2300Hg = 2300/760   = 3.0263atm

             V1 =28ml                                                     V2   =

                  P1V1    = P2V2

                    V2     = P1V1/P2

                               = 0.74*28/3.0263   = 6.85ml

Initial                                             Final

             P1 = 0.74atm                              P2 = 81Hg = 81/760   = 0.1066atm

             V1 =28ml                                                     V2   =

                  P1V1    = P2V2

                    V2     = P1V1/P2

                              = 0.74*28/0.1066 = 194.4ml

B. initial                                                         Final

    P1 = 0.74atm                                            P2 = 0.24atm

    T1   = 28ml                                                  V2 =

                 P1V1 = P2V2

                      V2    = P1V1/P2

                               = 0.74*28/0.24   = 86.34ml

initial                                                         Final

    P1 = 0.74atm                                            P2 = 2.8atm

    T1   = 28ml                                                  V2 =

                 P1V1 = P2V2

                      V2    = P1V1/P2

                               = 0.74*28/2.8 = 7.4ml

C.   initial                                         Final

   V1   = 3.6L                                               V2 = 1.3L

    T1 = 0 + 273 = 273 K                             T2 =

             V1/T1   = V2/T2

                 T2   = V2T1/V1

                         = 1.3*273/3.6   = 98.58K

                                                     = 98.58-273    = -174.420C

initial                                         Final

   V1   = 3.6L                                               V2 = 1800ml   = 1.8L

    T1 = 0 + 273 = 273 K                             T2 =

             V1/T1   = V2/T2

                 T2   = V2T1/V1

                         = 1.8*273/3.6   =136.5K

                                                     = 136.5-273    = -136.50C

nitial                                         Final

   V1   = 3.6L                                               V2 = 61ml   = 0.061L

    T1 = 0 + 273 = 273 K                             T2 =

             V1/T1   = V2/T2

                 T2   = V2T1/V1

                         = 0.061*273/3.6   =4.625K

                                                     = 4.625-273    = -268.3750C

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