Occupational Safety and Health Administration's (OSHA's) permissible exposure limit (PEL) for acetic anhydride is 5 ppm in air and the immediate danger to life and health (IDLH) value is 200 ppm in air. Such vapor concentrations can be determined by dividing the vapor pressure by 760 mmHg and then multiplying by 106 (VP/760 x 106). Calculate the vapor concentration at 20 ∘C and 50 ∘C.

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Answer:

At  [tex]20^oC[/tex]   [tex]Z_{ppm} = 5263.15 \ ppm[/tex]

At  [tex]50^oC[/tex]   [tex]K_{ppm} = 30921 \ ppm[/tex]

Explanation:

From the question we are told that

 The permissible exposure limit (PEL) for acetic anhydride is  [tex]A =5 ppm[/tex]

  The  exposure that is of immediate danger to life and health [tex]B = 200 ppm[/tex]

Gnerally the vapor  pressure of acetic anhydride at [tex]20^oC[/tex] is  [tex]Z = 4.0\ mmHg[/tex]

Now converting to ppm from the description in the question

     [tex]Z_{ppm} = \frac{4}{760 } * 10^{6} = 5263.15 \ ppm[/tex]

Gnerally the vapor  pressure of acetic anhydride at [tex]50^oC[/tex] is  [tex]K = 23.5 \ mmHg[/tex]  

Now converting to ppm from the description in the question

     [tex]K_{ppm} = \frac{23.5}{760 } * 10^{6} = 30921 \ ppm[/tex]

Note this vapor pressure are constant values