The magnetic susceptibility of a paramagnetic substance at - 173 ° C is 1 . 5 × 10 - 2 . To have the susceptibility 0 . 5 × 10 - 2 , the change in temperature in ° C is

Step-by-step solution

Given: x m = 1 . 5 × 10 - 2 T 1 = 173   ° C + 273 = 100   K From Curie's Law, x m ∝ 1 T x m 1 x m 2 = T 2 T 1 Substitute the values in the above equation 1 . 5 × 10 - 2 0 . 5 × 10 - 2 = T 2 100 T 2 = 300   K T 2 = 300   K - 273 T 2 = 27   ° C The change in temperature is, Δ T = T 1 - T = 27   ° C - - 173   ° C = 200   ° C