Answer:
The temperature is 590,10 K
Explanation:
As stated, we understand that there is one mole of F2, which is equivalent to 37.9968x2 grams = 75.936 grams. The unit of Torr is converted to atm, 1 Torr = 0.0013 atm, and with the data of grams it is converted into volume through density:
density = m / v ---> v = m / density = 75,936 g / 1,559 g / l = 48, 708 l
Exactly the formula PV = nRT
n = number of moles (according to what is interpreted in the sentence is 1 mole)
P = pressure 755 Torr (converted to atm 755Torr / 0.0013 atm / Torr = 0.99344 atm)
R = value constant 0.082 l x atm / K x mol
T = is our mystery (in degrees Kelvin)
0.99344 x 48, 708 l = 1 mol x 0.082 l x atm / K x mol x X
X = 0.99344 x 48, 708 l / 1 mol x 0.082 l x atm / K x mol
X = 590, 10 K
The temperature is 590.10 K
