A steel tank contains carbon dioxide at a pressure of 13.0 atm when the temperature is 34oC. What will be the internal gas pressure when the tank and its contents are heated to 100oC

The final pressure will be "15.8 atm".

According to the question,

Initial pressure,

Initial temperature,

Final temperature,

By using the Gay-Lussac's law of pressure and temperature, we get

→    

or,

→    

By substituting the values, we get

→          

→          

Thus the response above is right.

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D. 15.8atm

Explanation:

Given parameters:

Initial pressure = 13atm

Initial temperature  = 34°C = 34 + 273  = 307K

Final temperature  = 100°C = 100 + 273  = 373K

Unknown:

Final pressure  = ?

Solution:

To solve this problem, we apply a derivation of the combined gas law taking the volume as a constant.

The expression is shown mathematically below;

          =

P and T pressure and temperature values

1 and 2 are initial and final states

 Insert the parameters and solve for T₂;

      =  

        P₂  = 15.8atm

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