Question

A soda bottle is flexible enough that the volume of the bottle can change even without opening it. If you have an empty soda bottle (volume 591 mL) at room temperature (20 degrees Celsius), what will the new volume be if you put it into a freezer (-4.0 degrees Celsius)?

Answer 1

The new volume = 542.6 ml

Further explanation

Charles's Law

When the gas pressure is kept constant, the gas volume is proportional to the temperature

`\tt (V_1)/(T_1)=(V_2)/(T_2)`

V₁=591 ml

T₁=20+273=293 K

T₂=-4+273=269 K

`\tt V_2=(V_1.T_2)/(T_1)\\\\V_2=(591* 269)/(293)\\\\V_2=542.6~ml`