Final answer:
The gas constant value for R is 8.314 J/mol·K, and it is a fundamental constant used in thermodynamics for relating energy and temperature.
Step-by-step explanation:
The student is asking about the gas constant value which is a fundamental constant used in equations dealing with gases. The gas constant, denoted by R, has a value of 8.314 J/mol·K or equivalently 8.314 kg m²s²mol¹K¹. In the ideal gas law and other related equations, R represents the physical constant that relates the energy scale to the temperature scale, and this constant is critical for calculations in thermodynamics and physical chemistry.
To confirm the units of nRT being those of energy, we can analyze each value of R provided. The unit for n (the number of moles) is mol, for T (temperature) is K (Kelvin), and for R is J/mol·K as mentioned. Multiplying these units together, moles cancel out, and we are left with J·K/K, which simplifies to J (joules), representing energy.
In summary, 8.314 J/mol·K is the value used for the gas constant when dealing with ideal gas calculations.