Question

A sample of gas occupies 17 mL at -122°C. What volume does the sample occupy at 70°C?

A. 10.6 mL
B. 27 mL
C. 36 mL
D. 8.0 mL

Answer 1

Answer: 38.6 ml

Explanation:

Charles' Law: This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.

`V\propto T` (At constant pressure and number of moles)

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

`V_1`= initial volume = 17 ml

`V_2`= final volume = ?

`T_1`= initial temperature =
`-122^0C=273+(-122)=151K`

`T_2`=final temperature=
`70^0C= 70+273=343K`

`(17)/(151)=(V_2)/(343)`

`V_2=38.6ml`

Thus final volume is 38.6 ml at 70
`^0C`