Question

A balloon filled with air kept at ${30}^{0}C$ has volume equal to $2L$. On placing it in a hot room keeping pressure constant, its volume becomes $4L$. The temperature of the room will be:

• A. $60$K
• B. ${333}^0$C
• C. ${606}^0$C
• D. $333$K

Answer 1

The correct option is A $60$K

Given,

Initial volume $V_1=2L$

Final volume $V_2=4L$

Initial temperature $T_1=303K$

Final temperature=$T_2$

Also pressure is constant

Now, according to charle's law at constant $P$

$V\propto T$

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

$\frac{2}{4}=\frac{30}{T_2}$

$T_2=333K$