Which of the following properties will change when system containing solution 1 will become solution 2 ?
Sol. Both solutions are having same composition, which is 1 mole of 'x' in 1L \( H_2O \), so all the intensive properties will remain same, but as total amount is greater in solution '1' compared to solution '2'.
So extensive properties will be different hence Gibbs free energy will be different.
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: