The exact differential df of a state function f(x, y), among the following is

(d) 1/y dx-x/(y²) dy. Explanation: d(x/y) = dx/y − (x/y²)dy is exact (d).

Q109 · CSIR-NET Chemistry, December 2014

Paper: CSIR-NET December 2014 · Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Laws State Functions · Marks: 2 · Difficulty: Easy

The exact differential df of a state function $\mathrm{f}(\mathrm{x}, \mathrm{y})$, among the following is

(a)$x d y$

(b)$\mathrm{dx}-\frac{\mathrm{x}}{\mathrm{y}} \mathrm{dy}$

(c)$\mathrm{ydx}-\mathrm{xdy}$

(d)$\frac{1}{\mathrm{y}} \mathrm{dx}-\frac{\mathrm{x}}{\mathrm{y}^{2}} \mathrm{dy}$

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

d(x/y) = dx/y − (x/y²)dy is exact (d).

Study loop for Thermodynamics