Question

Based on the trend in the table, hypothesize what the volume of the sample at 400K would be.

Answer 1

Answer: The volume of sample at 400 K is $285cm^3$

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)

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

where,

$V_1$ = initial volume of gas  = $257cm^3$

$V_2$ = final volume of gas  = ?

$T_1$ = initial temperature of gas  = 360 K

$T_2$ = final temperature of gas  = 400 K

Putting in the values we get:

${\frac{257}{360}=\frac{V_2}{400}$

$V_2=285cm^3$

Thus volume of sample at 400 K is $285cm^3$