A) The temperature increases by a factor 6
We can use the ideal gas equation:
where
p is the pressure
V is the volume
n is the number of moles
R is the gas constant
T is the temperature
We can also rewrite it as
The gas is in a sealed container - this means the amount of gas is fixed, so n is constant. Since R is constant too, the term on the right in the equation is constant. So we can rewrite the equation as:
where in this problem we have:
(the volume is doubled)
(the pressure is tripled)
re-arranging the equation, we find the change in temperature:
so, the temperature increases by a factor 6.
B) The temperature increases by a factor 1.5.
We can use again the same equation:
Where in this case:
(the volume is halved)
(the pressure is tripled)
So, we can find the change in temperature:
So, the temperature increases by 1.5 times.