Question

Find the missing values in the tabeel below using Charle's Law. The volume units must agree, and all the temperatures must be in Kelvin. Show all work.

V1 T1 V2 Ts

a) 755mL 435 degrees Celsius 1.15 pints ?

b) ? 344 K 353 in^3 -13 degrees Fehrenheit

Answer 1

As per Charles law,

V1/T1 = V2/T2

a) V1 = 755ml

T1 = 435°C

V2 = 1.15pints

Now, 1 pint(liquid) = 473.18ml

So, 1.15pints = 1.15*473.18ml = 544.16ml

T2 = ?

So, using Charles law

V1/T1 = V2/T2

Keeping the values,

755ml/435°C = 544.16ml/T2

T2 = 544.16ml*435°C / 755ml = 313.5°C

Temperature in Kelvin,

313.5°C = 313.5 + 273.15K = 586.7K

(b) V1 = ?

T1 = 344K

V2 = 353in³

T2 = -13°F

Now to convert Fahrenheit to Kelvin, we must use the formula,

Tk = (Tf + 459.67) * 5/9

= (-13 + 459.67) * 5/9

= 446.67*5/9

= 248.15K

Now, keeping the values

V1/344K = 353in^3 / 248.15K

V1 = 353in^3 * 344K / 248.15K

= 489.35in^3

V1 = 489.35in^3