For the chemical reaction X Y , the standard reaction Gibbs energy depends on temperature T (in K) as `Delta_rG^0` ( in kJ `mol^(-1)` ) = `120-3/8`T . The major component of the reaction mixture at T is

Options

A. X if T=315 K
B. Y if T =300 K
C. Y if T =280 K
D. X if T =350 K

Explanation

To determine the major component of the reaction mixture at a temperature of 350 K for the reaction X ⇌ Y, we will analyze the standard Gibbs free energy change (Δ_rG^0) given by the equation:

\[ \Delta_rG^0 = 120 - \frac{3}{8}T \]

1. **Calculate Δ_rG^0 at T = 350 K:**
Substitute T = 350 K into the equation to find Δ_rG^0.

\[ \Delta_rG^0 = 120 - \frac{3}{8} \times 350 \]

\[ = 120 - \frac{1050}{8} \]

\[ = 120 - 131.25 \]

\[ = -11.25 \text{ kJ/mol} \]

2. **Interpret the sign of Δ_rG^0:**
Since Δ_rG^0 is negative (-11.25 kJ/mol), the reaction is spontaneous in the forward direction (from X to Y).

3. **Determine the major component:**
When the reaction is spontaneous in the forward direction, it indicates that the products (Y) will be favored over the reactants (X). Thus, Y will be the major component of the reaction mixture at 350 K.

4. **Conclusion:**
Therefore, at T = 350 K, the major component of the reaction mixture is Y.