Astudent increases the temperature of a 417 cm squared balloon from 278 k to 231 k assuming constant pressure what should the new volume of the balloon be

             346.5 cm³

Solution:
              Lets suppose the gas is acting ideally, then according to Charle's Law, "The volume of a fixed mass of gas at constant pressure is directly proportional to the absolute temperature". Mathematically for initial and final states the relation is as follow,

                                                 V₁ / T₁  =  V₂ / T₂

Data Given;
                   V₁  =  417 cm³

                   T₁  =  278 K
 
                   V₂  =  ??

                   T₂  =  231 K

Solving equation for V₂,

                          V₂  =  V₁ T₂ / T₁

Putting values,

                          V₂  =  (417 cm³ × 231 K) ÷ 278 K

                          V₂  =  346.5 cm³

Result:
            As the temperature has been increased, therefore, the volume is also increased from 417 cm³ to 346.5 cm³.

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