Answer:
237 K
Explanation:
Given that,
Initial temperature, T₁ = 201⁰C = 474 K
Let P be the initial pressure. Upon cooling the gas, the pressure decreases by a factor of 2.0, while the volume and the amount of gas remain constant.
Final pressure = P/2
The relation between the pressure and temperature is as follows :
[tex]\dfrac{P_1}{P_2}=\dfrac{T_1}{T_2}[/tex]
Put all the known values,
[tex]\dfrac{P}{\dfrac{P}{2}}=\dfrac{474}{T_2}\\\\2=\dfrac{474}{T_2}\\\\T_2=\dfrac{474}{2}\\\\T_2=237\ K[/tex]
So, the final temperature of the gas is equal to 237 K.
