Question

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

Answer 1

Answer:

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;

        $\frac{P_{1} }{T_{1} }$   = $\frac{P_{2} }{T_{2} }$

P and T pressure and temperature values

1 and 2 are initial and final states

 Insert the parameters and solve for T₂;

    $\frac{13}{307}$   = $\frac{P_{2} }{373}$  

        P₂  = 15.8atm