Answer: T = 311.94 degrees Celsius
Step-by-step explanation:
We would apply the ideal gas equation which is expressed as
PV = nRT
where
P is the pressure of the gas in atm
V is volume of the gas in liters
n is the number of moles
R is the gas constant and its value is 0.08206L.atm/K.mol
L is the volume in liters
We would calculate the number of moles, n by applying the formula,
n = mass/molar mass
From the information given,
mass = 200 g
molar mass of oxygen = 32
number of moles, n = 200/32 = 6.25
V = 300
P = 1
By substituting these values into the formula,
1 x 300 = 6.25 x 0.08206 x T
300 = 0.512875T
T = 300/0.512875
T = 584.94 K
We would convert to Celsius by subtracting 273. Thus,
T = 584.94 - 273
T = 311.94 degrees Celsius