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Homework	
  2	
  
Due:	
  Monday,	
  August	
  22nd,	
  2011	
  	
  
                                                                                                         	
  
                                                                       Conversions	
  and	
  Scientific	
  Method	
  
                                                                                                         	
  
Instructions:	
  FIRST:	
  Read	
  (Analyzing	
  Data)	
  Chapter	
  2	
  Sections:	
  1	
  and	
  2...	
  It	
  may	
  not	
  
be	
  the	
  same	
  Chapter	
  in	
  your	
  book,	
  but	
  look	
  for	
  the	
  Analyzing	
  Data	
  Chapter.	
  
SECOND:	
  Carefully	
  analyze	
  the	
  conversions	
  below,	
  follow	
  each	
  step	
  to	
  make	
  sure	
  it	
  
has	
  been	
  done	
  correctly.	
  If	
  you	
  find	
  an	
  error	
  make	
  corrections	
  (Circle	
  the	
  error.	
  
Then	
  do	
  the	
  problem	
  again	
  showing	
  all	
  of	
  your	
  work,	
  steps	
  followed	
  and	
  units,	
  with	
  
the	
  correction	
  and	
  the	
  right	
  answer).	
  
THIRD:	
  Do	
  the	
  conversions	
  showing	
  all	
  of	
  your	
  work:	
  steps	
  followed,	
  units,	
  
formulas	
  and	
  conversions!	
  
FOURTH:	
  Define	
  Avogadro’s	
  number	
  and	
  what	
  it’s	
  used	
  for.	
  	
  
***All	
  you	
  have	
  to	
  turn	
  in	
  are	
  the	
  corrections	
  and	
  the	
  THIRD	
  and	
  FOURTH	
  
instructions.	
  
***Showing	
  your	
  work	
  is	
  part	
  of	
  your	
  grade	
  and	
  you	
  will	
  get	
  credit	
  for	
  it!!!!	
  
***There	
  is	
  a	
  conversion	
  chart	
  attached	
  at	
  the	
  end	
  of	
  the	
  document	
  for	
  you	
  to	
  use.	
  	
  
	
  
Problems:	
  
	
  
1.	
  12	
  feet	
  to	
  centimeters	
  	
  
	
  
1	
  meter	
  =	
  39.307	
  inches	
  
1	
  foot	
  =	
  12	
  inches	
  
	
  
12	
  feet	
  	
  	
  	
  	
  	
  	
  x	
                12	
  inches	
  	
  	
  	
  	
  x	
   1	
  meter	
         100	
  cm	
  	
  	
  	
  	
  	
  	
  =	
   366.35	
  centimeters	
  
	
                                                       1	
  foot	
                           39.307	
  inches	
   1	
  meter	
                               	
  
	
  
	
  
2.	
  1Gm	
  to	
  mm	
  
	
  
1	
  Gigameter	
  =	
  109	
  meters	
  
1	
  meter	
  =	
  1000	
  millimeters	
  
	
  
1	
  Gm	
  	
  	
  	
  	
  	
  	
  	
  x	
               109	
  meters	
  	
  	
  	
  x	
   1	
  meter	
                 1000000	
  millimeters	
  
	
                                                       1	
  Gm	
                             1000	
  millimeters	
   	
  
	
  
	
  
3.	
  450	
  Celsius	
  to	
  Kelvin	
  
	
  
oC	
  =	
  K	
  -­‐	
  273	
  à	
  first	
  solve	
  for	
  K	
  

	
  
       I)                                K	
  =	
  oC	
  +	
  273	
  
       II)                               K	
  =	
  450	
  +	
  273	
  
       III)                              K	
  =	
  723	
  K	
  
	
  
	
  
4.	
  278	
  K	
  to	
  F	
  
	
  
OC	
  =	
  K	
  +	
  273	
  
Homework	
  2	
  
Due:	
  Monday,	
  August	
  22nd,	
  2011	
  	
  
F	
  =	
  1.8C	
  +	
  32	
  
	
  
There	
  are	
  two	
  ways	
  to	
  solve	
  this	
  problem.	
  	
  
	
  
          I)                         C	
  =	
  278	
  +	
  273	
  =	
  551O	
  C	
  
          II)                        F	
  =	
  1.8	
  (551)	
  +	
  32	
  
          III)                       F	
  =	
  1023.8	
  OF	
  
	
  
OR	
  –	
  using	
  substitution	
  
	
  
          I)                         F	
  =	
  1.8	
  (K	
  +	
  273)	
  +32	
  
          II)                        F	
  =	
  1.8	
  (278	
  +	
  273)	
  +	
  31	
  
          III)                       F	
  =	
  1023.8	
  OF	
  
	
  
5.	
  What	
  is	
  the	
  volume	
  of	
  a	
  substance	
  that	
  has	
  a	
  mass	
  of	
  34.5	
  grams	
  and	
  a	
  density	
  of	
  
3.45	
  g/m3	
  in	
  in3	
  
	
  
D	
  =	
  mass/volume	
  
	
  
          I)                         Solve	
  for	
  volume:	
  v	
  =	
  m/D	
  
          II)                        V	
  =	
  (34.5	
  g)	
  /	
  (3.45	
  g/	
  m3)	
  
          III)                       V	
  =	
  10	
  m3	
  
          IV)                        Now	
  convert	
  from	
  m3	
  to	
  in3	
  
	
  
1	
  meter	
  =	
  39.307	
  inches	
  
	
  
10	
  m3	
  	
  	
  	
  	
  	
  	
  x	
           39.307	
  in	
  	
  	
  	
  =	
   393.07	
  in3	
  
	
                                                1	
  m	
                            	
  
	
  
	
  
6.	
  	
  What	
  is	
  the	
  mass,	
  in	
  slugs,	
  of	
  an	
  object	
  that	
  applies	
  a	
  pressure	
  of	
  600	
  Pa	
  on	
  a	
  table	
  
that	
  is	
  2	
  decimeters	
  by	
  2	
  decimeters?	
  
	
  
P	
  =	
  mass	
  x	
  acceleration/	
  area	
  
	
  
          I)                         First	
  write	
  down	
  the	
  information	
  you	
  have:	
  
                                                       i. P	
  =	
  600	
  Pa	
  
                                                     ii. Acceleration:	
  9.8m/s2	
  
                                                  iii. Are	
  =	
  length	
  x	
  length	
  =	
  2	
  decimeters	
  x	
  2	
  decimeters	
  =	
  4	
  dm2	
  
                                                                   1. You	
  have	
  to	
  convert	
  from	
  decimeters	
  to	
  meters	
  because	
  
                                                                             Pascals	
  use	
  meters	
  NOT	
  decimeters.	
  Meters	
  is	
  the	
  SI	
  
                                                                             unit	
  deci	
  is	
  the	
  PREFIX.	
  (	
  1	
  meter	
  =	
  10	
  decimeters)	
  	
  
                                                                   	
  
                                                                             	
  4dm2	
  	
  	
  	
  	
  	
  	
  	
  x	
   	
  12meter	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
   0.04	
  m2	
  
                                                                             	
                                            102decimeters	
                                                  	
  
	
  
                                                  iv. Mass	
  =	
  ?	
  
          II)                        Then	
  solve	
  for	
  mass	
  using	
  the	
  formula	
  for	
  Pressure:	
  
                                                       i. Mass	
  =	
  P	
  x	
  area	
  /	
  acceleration	
  	
  
Homework	
  2	
  
Due:	
  Monday,	
  August	
  22nd,	
  2011	
  	
  
                                                                        ii. Mass	
  =	
  600	
  Pa	
  x	
  0.04m2/	
  9.8m/s2	
  
                                                                    iii. Mass	
  =	
  2.449	
  kilograms	
  
       III)                Now	
  convert	
  from	
  kilograms	
  to	
  slugs	
  
	
  
1	
  kilogram	
  =	
  0.0.685	
  slugs	
  
	
  
2.449	
  kg	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  x	
                  0.0685	
  slugs	
  	
  	
  	
  	
  	
  	
  =	
               0.1676	
  slugs	
  
	
                                                                          1	
  kg	
                                                    	
  
	
  
	
  
7.	
  Convert	
  to	
  scientific	
  notation:	
  0.3050	
  
	
  
Ans:	
  3.05	
  x	
  101	
  
	
  
8.	
  Convert	
  to	
  scientific	
  notation:	
  234500000000	
  
	
  
Ans:	
  2.345	
  x	
  1011	
  
	
  
9.	
  How	
  many	
  moles	
  of	
  Carbon	
  are	
  in	
  4.34x1023	
  atoms	
  of	
  Carbon?	
  
	
  
1	
  mole	
  =	
  6.023x1023	
  atoms	
  (This	
  is	
  called	
  Avogadro’s	
  number:	
  the	
  number	
  of	
  
molecules	
  of	
  atoms	
  in	
  a	
  mole	
  of	
  matter)	
  	
  
	
  
4.34x1023	
  atoms	
  of	
  C	
  	
  	
  	
  x	
  	
   1	
  mole	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
          0.723	
  moles	
  of	
  C	
  
	
                                                                                     6.023x10          23	
  atoms	
                               	
  
	
  
	
  
11.	
  How	
  many	
  atoms	
  of	
  Helium	
  are	
  in	
  2	
  moles	
  of	
  Helium?	
  
	
  
1	
  mole	
  =	
  6.023x1023	
  atoms	
  (Avogadro’s	
  number)	
  
	
  
2	
  mol	
  He	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  x	
  	
                  6.023x1023	
  atoms	
  He	
  	
  	
  =	
   12.023x1023	
  atoms	
  He	
  
	
                                                                                     1	
  mol	
  He	
                                              	
  
	
  
	
  
Conversions:	
  Please	
  do	
  the	
  following	
  conversions	
  (Show	
  all	
  of	
  your	
  work:	
  steps	
  
followed,	
  units,	
  conversions,	
  formulas!)	
  
	
  
       1. What	
  volume	
  is	
  occupied	
  by	
  16.4	
  g	
  of	
  mercury	
  in	
  cm3?	
  (The	
  density	
  of	
  
             mercury	
  is	
  13.6	
  g/mL).	
  
       2. What	
  is	
  the	
  mass,	
  in	
  slugs,	
  of	
  an	
  object	
  that	
  is	
  applying	
  a	
  pressure,	
  to	
  another	
  
             object,	
  of	
  9.45x104	
  Pa?	
  (Use	
  gravitational	
  acceleration	
  =	
  9.8m/s2)	
  
       3. 55mL	
  to	
  in3	
  
       4. 90	
  g/cm3	
  to	
  km3	
  
       5. Convert	
  these	
  two	
  numbers	
  to	
  scientific	
  notation:	
  
                           a. 0.0000000056	
  
                           b. 45682980.0	
  
	
  

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Conversions homework 2

  • 1. Homework  2   Due:  Monday,  August  22nd,  2011       Conversions  and  Scientific  Method     Instructions:  FIRST:  Read  (Analyzing  Data)  Chapter  2  Sections:  1  and  2...  It  may  not   be  the  same  Chapter  in  your  book,  but  look  for  the  Analyzing  Data  Chapter.   SECOND:  Carefully  analyze  the  conversions  below,  follow  each  step  to  make  sure  it   has  been  done  correctly.  If  you  find  an  error  make  corrections  (Circle  the  error.   Then  do  the  problem  again  showing  all  of  your  work,  steps  followed  and  units,  with   the  correction  and  the  right  answer).   THIRD:  Do  the  conversions  showing  all  of  your  work:  steps  followed,  units,   formulas  and  conversions!   FOURTH:  Define  Avogadro’s  number  and  what  it’s  used  for.     ***All  you  have  to  turn  in  are  the  corrections  and  the  THIRD  and  FOURTH   instructions.   ***Showing  your  work  is  part  of  your  grade  and  you  will  get  credit  for  it!!!!   ***There  is  a  conversion  chart  attached  at  the  end  of  the  document  for  you  to  use.       Problems:     1.  12  feet  to  centimeters       1  meter  =  39.307  inches   1  foot  =  12  inches     12  feet              x   12  inches          x   1  meter   100  cm              =   366.35  centimeters     1  foot   39.307  inches   1  meter         2.  1Gm  to  mm     1  Gigameter  =  109  meters   1  meter  =  1000  millimeters     1  Gm                x   109  meters        x   1  meter   1000000  millimeters     1  Gm   1000  millimeters         3.  450  Celsius  to  Kelvin     oC  =  K  -­‐  273  à  first  solve  for  K     I) K  =  oC  +  273   II) K  =  450  +  273   III) K  =  723  K       4.  278  K  to  F     OC  =  K  +  273  
  • 2. Homework  2   Due:  Monday,  August  22nd,  2011     F  =  1.8C  +  32     There  are  two  ways  to  solve  this  problem.       I) C  =  278  +  273  =  551O  C   II) F  =  1.8  (551)  +  32   III) F  =  1023.8  OF     OR  –  using  substitution     I) F  =  1.8  (K  +  273)  +32   II) F  =  1.8  (278  +  273)  +  31   III) F  =  1023.8  OF     5.  What  is  the  volume  of  a  substance  that  has  a  mass  of  34.5  grams  and  a  density  of   3.45  g/m3  in  in3     D  =  mass/volume     I) Solve  for  volume:  v  =  m/D   II) V  =  (34.5  g)  /  (3.45  g/  m3)   III) V  =  10  m3   IV) Now  convert  from  m3  to  in3     1  meter  =  39.307  inches     10  m3              x   39.307  in        =   393.07  in3     1  m         6.    What  is  the  mass,  in  slugs,  of  an  object  that  applies  a  pressure  of  600  Pa  on  a  table   that  is  2  decimeters  by  2  decimeters?     P  =  mass  x  acceleration/  area     I) First  write  down  the  information  you  have:   i. P  =  600  Pa   ii. Acceleration:  9.8m/s2   iii. Are  =  length  x  length  =  2  decimeters  x  2  decimeters  =  4  dm2   1. You  have  to  convert  from  decimeters  to  meters  because   Pascals  use  meters  NOT  decimeters.  Meters  is  the  SI   unit  deci  is  the  PREFIX.  (  1  meter  =  10  decimeters)        4dm2                x    12meter                        =   0.04  m2     102decimeters       iv. Mass  =  ?   II) Then  solve  for  mass  using  the  formula  for  Pressure:   i. Mass  =  P  x  area  /  acceleration    
  • 3. Homework  2   Due:  Monday,  August  22nd,  2011     ii. Mass  =  600  Pa  x  0.04m2/  9.8m/s2   iii. Mass  =  2.449  kilograms   III) Now  convert  from  kilograms  to  slugs     1  kilogram  =  0.0.685  slugs     2.449  kg                      x   0.0685  slugs              =   0.1676  slugs     1  kg         7.  Convert  to  scientific  notation:  0.3050     Ans:  3.05  x  101     8.  Convert  to  scientific  notation:  234500000000     Ans:  2.345  x  1011     9.  How  many  moles  of  Carbon  are  in  4.34x1023  atoms  of  Carbon?     1  mole  =  6.023x1023  atoms  (This  is  called  Avogadro’s  number:  the  number  of   molecules  of  atoms  in  a  mole  of  matter)       4.34x1023  atoms  of  C        x     1  mole                                    =   0.723  moles  of  C     6.023x10 23  atoms         11.  How  many  atoms  of  Helium  are  in  2  moles  of  Helium?     1  mole  =  6.023x1023  atoms  (Avogadro’s  number)     2  mol  He                        x     6.023x1023  atoms  He      =   12.023x1023  atoms  He     1  mol  He         Conversions:  Please  do  the  following  conversions  (Show  all  of  your  work:  steps   followed,  units,  conversions,  formulas!)     1. What  volume  is  occupied  by  16.4  g  of  mercury  in  cm3?  (The  density  of   mercury  is  13.6  g/mL).   2. What  is  the  mass,  in  slugs,  of  an  object  that  is  applying  a  pressure,  to  another   object,  of  9.45x104  Pa?  (Use  gravitational  acceleration  =  9.8m/s2)   3. 55mL  to  in3   4. 90  g/cm3  to  km3   5. Convert  these  two  numbers  to  scientific  notation:   a. 0.0000000056   b. 45682980.0