Question

A weather balloon calibrated at 0.00 degrees Celsius to have a volume of 20.0 L has what volume in L at -22.8 degrees Celsius pressure is held constant?

Answer 1

Answer:

New volume = 18.33 L

Explanation:

Given that,

Initial temperature, $T_1=0^{\circ} C=273.15\ K$

Initial volume, $V_1=20\ L$

Final temperature, $T_2=-22.8^{\circ}C=250.35\ K$

We need to find the final volume when pressure is held constant. The relation between volume and temperature is given by :

$V\propto T\\\\\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}\\\\V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{20\times 250.35}{273.15}\\\\V_2=18.33\ L$

So, the new volume is equal to $18.33\ L$.