Answer:
The temperature is 114 K or -159ºC
Step-by-step explanation:
We must use the ideal gas equation to calculate the temperature in K:
P x V = n x R x T
⇒ T = (P x V)/(n x R)
We have to introduce the data expressed in the adequate units:
V = 629 ml x 1 L/1000 ml= 0.629 L
n = 0.0337 moles
P = 0.500 atm
R = 0.082 L.atm/K.mol (it is the gas constant)
T = (P x V)/(n x R) = (0.500 atm x 0.629 L)/(0.0337 mol x 0.082 L.atm/K.mol)
T = 113.8 K ≅ 114 K
Thus, the temperature is 114 K or -159ºC.