Answer:
The pressure at 179 K is 21.8 kiloPascal.
Explanation:
To calculate the final pressure 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,
[tex]\frac{P_1}{T_1}=\frac{P_2}{T_2}[/tex]
where,
[tex]P_1\text{ and }T_1[/tex] are the initial pressure and temperature of the nitrogen gas.
[tex]P_2\text{ and }T_2[/tex] are the final pressure and temperature of the nitrogen gas.
We are given:
[tex]P_1=6.54 kPa\\T_1=537 K\\P_2=?\\T_2=179 K[/tex]
Putting values in above equation, we get:
[tex]\frac{6.54 kPa}{537 K}=\frac{P_2}{179 K}\\\\P_2=2.18 kPa[/tex]
The pressure at 179 K is 21.8 kiloPascal.
