Question

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

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)

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$V_1$= initial volume = 17 ml

$V_2$= final volume = ?

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

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

$\frac{17}{151}=\frac{V_2}{343}$

$V_2=38.6ml$

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