Question

A balloon filled with air has a volume of 4.24 liters at 23.00°c. if the balloon is cooled at constant pressure to 5.00°c, what is its new volume? the balloon’s volume at 5°c is liters.

Answer 1

The new volume if the balloon is cooled at constant pressure is  3.98 L.

Charles's law, states that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature if the pressure remains constant.

The new  volume is calculated using the Charles law formula

                                 V₁ / T₁  = V₂ / T₂

where,

V₁ = The initial volume of air = 4.24 l

T₁ = 23.00 °C into kelvin = 23  +273 =296 K

T₂ = 5.00 °C into kelvin = 5.00 + 273 = 278 K

V₂ = ?

By making  V₂ subject the subject of the formula  by multiplying both sides by T₂

V₂ = ( V₁  × T₂ ) / T₁

V₂ =  (4.24 L  ×  278 K)  / 296 k  

   = 3.98 L

Therefore, the new volume, if the balloon is cooled at constant pressure, is  3.98 L.

An air-filled balloon will contract when chilled and expand when heated. This occurs because the gas that makes up the air within the balloon expands when it is warm and contracts when it is cool.

Learn more about Charles law here:

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