Problem 27E

Explain the difference between a paramagnetic species and a diamagnetic one.

Solution :Step 1 :(a) Deriving the proportionality relationship between P and T using Charles’s law andBoyle’s law :Let’s see charles’s law and boyle’s law first :Charles’s law states that ‘The volume of a fixed amount of gas maintained at constant pressureis directly proportional to its absolute temperature’ . Mathematically it can be expressed as : V = constant × T or V = constant TBoyle's law states that ‘The volume of a fixed quantity of gas maintained at constant temperatureis inversely proportion l to the pressure’. Mathematically it can be expressed as : 1 V = constant × P or PV = constantWhere, V = Volume of gas. P = Pressure of gas. T = Temperature of gas.Combining both laws we get the equation as follows : T V = k P Where, k = proportionality constant PV = kT P = k T VSince, we have to derive the relation between P and T, let’s keep the ‘V’ constant and rewriteabove equation as follows : k Since ‘V’ is kept constant, V ’ becomes constant and the equation is as below : P THence, from above equation, we can say that pressure(P) is directly proportional totemperature(T).\n