For a certain gas sample, the quantity C_p - C_V is 1.00 R in state A and 1.08 R in state B . If the pressures are denoted by p_A and p_B , and the temperatures by T_A and T_B for states A and B respectively, which of the following is most probable?

Step-by-step solution

For an ideal gas, the difference between molar heat capacities is given by Mayer's relation C_p - C_V = R . In state A , C_p - C_V = 1.00 R , which indicates that the gas behaves ideally. In state B , C_p - C_V = 1.08 R , which indicates that the gas deviates from ideal behavior. A real gas approaches ideal behavior at low pressures and high temperatures, while it deviates from ideal behavior at high pressures and low temperatures. Therefore, state A must correspond to a lower pressure and higher temperature compar