The new temperature is 337.21 K when the pressure was reduced to 101.3 kPa from 150.2 kPa at 500 K.
Step-by-step explanation:
Data given:
volume of the container = 100 ml
initial pressure on the container P1 = 150.2 kPa
Initial temperature of the container, T1 = 500 K
final temperature of the container, T2 = ?
Final pressure on the container P2 = 101.3 kPa
from the data provided, we will use Gay Lussac's law to calculate the final temperature:
![(P1)/(T1)=(P2)/(T2)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/wnuz1szypsuolatu1a18w1y1omk00u71ah.png)
rearranging the equation,
T2 =
![(P2T1)/(P1)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/4u850bpbtow7tnzmhraq6g6spar3an978x.png)
Putting the values in the equation:
T2 =
![(101.3 X 500)/(150.2)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/821x3j5c3yu5mo05a5dxpppvgaa6l49q9z.png)
T2 = 337.21 K
thus, the final temperature of the container is 337.21 K