Question

at what temperature in degree centigrade will the volume of a gas at 0 degree celsius double itself pressure remaining constant

Answer 1

Answer: The increased temperature will be $273^oC$

Explanation:

To calculate the increased temperature, if volume is increasing, we use the equation given by Charles' Law. This law states that volume is directly proportional to the temperature of the gas at constant pressure and constant number of moles.

Mathematically,

$V\propto T$

or,

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

Where, $V_1\text{ and }T_1$ are the initial volume and temperature

$V_2\text{ and }T_2$ are the final volume and temperature

We are given:

$V_1=V\\T_2=0^oC=273K\\V_2=V\\T_2=?K$

Putting values in above equation, we get:

$\frac{V}{273K}=\frac{2V}{T_2}\\\\T_2=2\times 273=546K$

Converting this in degree centrigrates, we get:

$T(K)=T(^oC)+273$

$546=T(^oC)+273\\\\T(^oC)=273^oC$

Hence, the increased temperature will be $273^oC$

Answer 2

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