Question

Add a temperature of -33.0 Celsius a sample of a confirmed gas eggs or to pressure of 0.5 to 6 ATM if it's volume remains constant out which temperature was a pressure reach 1.31 ATM in Celsius

Answer 1

Answer: The final temperature of the gas is -220.6°C

Explanation:

To calculate the final temperature of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

where,

$P_1\text{ and }T_1$ are the initial pressure and temperature of the gas.

$P_2\text{ and }T_2$ are the final pressure and temperature of the gas.

We are given:

$P_1=6atm\\T_1=-33^oC=[273-33]K=240K\\P_2=1.31atm\\T_2=?$

Putting values in above equation, we get:

$\frac{6atm}{240K}=\frac{1.31atm}{T_2}\\\\T_2=\frac{1.31\times 240}{6}=52.4K$

Converting the temperature from kelvins to degree Celsius, by using the conversion factor:

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

$52.4=T(^oC)+273\\\\T(^oC)=-220.6^oC$

Hence, the final temperature of the gas is -220.6°C