22.45 c
The ideal gas law is
PV = nRT
where
P = pressure
V = volume
n = number of moles
R = ideal gas constant
T = absolute temperature
Since converting from 0 centigrade to kelvin, we get an absolute temperature of 273.15 K. Because the values of P, n, and R are all remaining constant, we can simplify the equation to a simple ratio of pressure vs temperature. So
P1/P2 = T1/T2
Cross multiply
P1*T2 = P2*T1
And divide by P1
T2 = P2*T1/P1
Substitute the known values and calculate
T2 = P2*T1/P1
T2 = 295.6006849
So the final temperature is 295.6 K, which we need to convert to C by subtracting 273.15
295.6 - 273.15 = 22.45068493
So the answer to two decimal places is 22.45âc
