[Single-digit Integer] The equation of state for a certain gas is P = RT / (Vm - b) - a / Vm, where — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

For a critical point to exist, the first and second derivatives of pressure with respect to molar volume must both equal zero at the same state. Evaluating the derivatives for this equation of state shows that no stable mathematical solution exists where both are zero simultaneously. Thus, the gas has no critical point, and the answer is 2. The integer answer is 0002.