For spontenous process

Options

A. `Delta_("total") S= 0`
B. `Delta_("total")S gt 0`
C. `Delta_("total")S lt 0`
D. None of these

Explanation

To determine the conditions for a spontaneous process in terms of entropy, we can analyze the changes in the entropy of the system and the surroundings. Here’s a step-by-step solution:

### Step 1: Understanding Spontaneous Processes
A spontaneous process is one that occurs naturally without the need for external energy input. This is often associated with an increase in the disorder or randomness of the system.

**Hint:** Recall the definition of spontaneity in thermodynamics.

### Step 2: Entropy Change in Spontaneous Processes
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