Which statement regarding entropy is correct?

Options

A. A completely ordered deck of cards has more entropy than a shuffled deck in which cards are arranged ramdomly.
B. A perfect ordered crystal of solid nitrous oxide has more entropy than a disordered crystal in which the molecules are oriented randomly.
C. 1 mole `N_(2)` gas at STP has more entropy than 1 mole `N_(2)` gas at 273 K in a volume of 11.2 litre.
D. 1mole `N_(2)` gas at STP has more entropy than 1 mole `N_(2)` gas at 273 K and 0.25 atm

Explanation

To solve the question regarding which statement about entropy is correct, we will analyze the provided statements step by step.

### Step 1: Understand the Concept of Entropy
Entropy is a measure of the disorder or randomness in a system. Generally, for gases, the entropy increases with an increase in temperature and volume.

**Hint:** Remember that entropy is related to the amount of disorder in a system.

### Step 2: Analyze the Given Statements
We have four statements regarding the entropy of one mole of N2 gas under different conditions. We need to evaluate each statement based on our understanding of entropy.

**Hint:** Look for comparisons in temperature and volume, as these are key factors affecting entropy.

### Step 3: Evaluate the Conditions
1. **STP Conditions:** At Standard Temperature and Pressure (STP), one mole of an ideal gas occupies 22.4 liters at 273 K.
2. **Given Conditions:** The second condition states one mole of N2 gas is at 273 K but in a volume of 11.2 liters.

**Hint:** Recall that at constant temperature, a decrease in volume leads to a decrease in entropy.

### Step 4: Compare the Two Conditions
- At STP (22.4 liters), the entropy is higher because the gas has more space to occupy, leading to greater disorder.
- In the second condition (11.2 liters), the gas is confined to a smaller volume, which reduces its entropy.

**Hint:** Think about how the volume affects the number of microstates available to the gas particles.

### Step 5: Conclusion
Based on the analysis, the correct statement is: "One mole of N2 gas at STP has more entropy than one mole of N2 gas at 273 Kelvin in a volume of 11.2 liters."

**Final Answer:** The correct statement is that one mole of N2 gas at STP has more entropy than one mole of N2 gas at 273 Kelvin in a volume of 11.2 liters.