Step-by-step explanation:
To answer this question, we will use the Clapeyron equation.
The Clapeyron equation is a mathematical expression proposed by the French physicist-chemist and civil engineer Benoit-Pierre-Émile Clapeyron and was formulated to describe the behavior of a perfect gas. Look at the following equation:
P.V = n.R.T
P = pressure generated by the gas on the walls of the container;
V = volume occupied by the gas and can be expressed in liters or cubic meters;
n = number of mol (amount of substance in the gas);
Obs.: The number of moles is expressed by the ratio between the mass of the gas (m) and its molar mass (M);
R = general gas constant proposed by Clapeyron and depends on the pressure unit used (in atm, it is 0.082; in mmHg, it is 62.3; in KPa, it is 8.31);
T = temperature at which the gas is subjected (always used in the unit Kelvin).
The question gives us:
n = 17.9 moles
P = 9.7 atm
V = 17 L
R = 0.082 atm.L/K.mol
T = ?
So:
9.7*17 = 17.9*0.082*T
T = 164.9/1.4678
T = 112.3 K
Answer: 112.3 K