Question

If 3.0 L of oxygen gas at 177°C is cooled at constant pressure until the volume becomes 1.50 L, then what is the final temperature

Answer 1

Volume is directly proportional to kelvin temp

Answer 2

so if volume is halved...

Answer 3

i always sudgest to start from what you know and move forward so you dont have to remember equations...
so lets start with pV=nRT
now since there is no change in amount you can write next assumption:
n1=n2 - where n1 is state before change and n2 state after change
now you can write next equation:
p1V1/RT1 = p2V2/RT2
since you have Rydbergs constant on both sides they can be crossed out and you get:
p1V1/T1 = p2V2/T2
now you have in task that pressure is constant so it crosses out like Rydbergs constant and you get:
V1/T1 = V2/T2
now all you need to do is little math and rearange the equation and you get:
T2=V2T1/V1
and that is it... now you just put in the numbers

Answer 4

You might remember Charles' Law which states that the volume of a fixed mass of gas is directly proportional to its Kelvin temperature or \[V _{1}/T _{1}=V _{2}/T _{2}\]

Remember to change the temperature to Kelvin. Volume can be in any units as long as both volumes are in the same units.