Question

Charles's Law: This law essentially states that gas volume has a direct relationship to temperature. If a football is inflated indoors during winter and then taken outside, what volume will be occupied inside the football if indoors the football is inflated at 26°c taking up 100 cm3, and it is 13°c outside?​

Answer 1

V2 = 95.65 cm^3 or 96 cm^3 (depends on if you want to round up or not)

Step-by-step explanation:

Charles law is V1 / T1 = V2 / T2 (1 means initial and 2 means final condition)

For Charles law, you must use kelvin scale for temperature. So to convert from C to K, you add 273.15

T1 = 26 +273.15 = 299.15 K

T2 = 13 + 273.15 = 286.15 K

Now plug in the values,

100 / 299.15 = V2/286.15

V2 = 95.65 cm^3 or ~ 96 cm^3

The answer should make sense because if they have a direct relation, if one goes down then the other goes down. For final condition, we lowered the temperature so our volume should have decreased too and it did (we went from 100 to 96 cm^3)