Final answer:
where pressure is determined by the formula P = nRT/V. This formula involves the number of moles (n), the Universal Gas Constant (R), and the temperature in Kelvin (T), divided by the volume (V).
Step-by-step explanation:
The subject of the student's question is Chemistry, specifically the behavior of an ideal gas under varying conditions of pressure, volume, and temperature, described by the Ideal Gas Law. This equation is typically taught in High School grade levels. The student is trying to find the pressure exerted by a gas when 7.5 mol of it is held in a 3.5 L container at 39°C (312.15 K), assuming the gas behaves ideally.
To determine the pressure, you would use the Ideal Gas Law: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the universal gas constant (0.0821 L·atm/(K·mol)), and T is the temperature in Kelvin. The pressure can be found by rearranging the Ideal Gas Law to solve for P (P = nRT/V) and substituting the given values.