Answer: Option (C) is the correct answer.
Explanation:
According to ideal gas law, product of pressure and volume equals n times R times T.
Mathematically, PV = nRT
where P = pressure
V = volume
n = number of moles
R = gas constant
T = temperature
Since it is known that value R = 0.082 L [tex]atm mol^{-1} K^{-1}[/tex] and the other values are given as P = 15.0 atm, V = 100 mL = 0.1 L, and n = 0.5 moles.
Therefore, calculate value of temperature as follows.
PV = nRT
[tex]15 atm \times 0.1 L[/tex] = [tex]0.5 moles \times 0.082 L atm mol^{-1} K^{-1} \times T[/tex]
T = 36.58 K
Thus, we can conclude that temperature is 36.5 K.
