Question

At 27∘C, a balloon is filled with 3 L air. The volume of the balloon when the temperature is 54∘C is .

• A. 3.27 L
• B. 2.75 L
• C. 1.5 L
• D. 6 L

Answer 1

The correct option is A 3.27 L

According to Charles' Law at constant pressure the volume of a fixed amount of gas is directly proportional to its temperature-
i.e $V$ α $T$
Thus, $\frac{V_1}{T_1}=\frac{V_2}{T_2}$, where
$V_1$ = initial volume; $V_2$ = final volume
$T_1$ = initial temperature; $T_2$ = final temperature
$V_1$ = 2 L, $V_2$ = ?
$T_1$ = 273 + 27 = 300 K
$T_2$ = 273 + 54 = 327 K
Therefore, $V_2=\frac{V_1\times T_2}{T_1}$= $\frac{3\times 327}{300}$ = 3.27 L