Which statement correctly compares a sample of water at 38 °C to a sample of water at 295 K?

• A. The sample at 295 K is much warmer than the sample at 38 °C.
• B. The sample at 38 °C is cooler than the sample at 295 K.
• C. The sample at 38 °C is warmer than the sample at 295 K.
• D. Both samples are at the same temperature.

Answer: (C)

Verified step by step guidance

1. Step 1: Understand the temperature scales involved. The problem compares temperatures given in Celsius (°C) and Kelvin (K).
2. Step 2: Recall the conversion formula between Celsius and Kelvin: \(\text{K} = \text{°C} + 273.15\).
3. Step 3: Convert 38 °C to Kelvin using the formula: \$38 + 273.15 = 311.15$ K.
4. Step 4: Compare the two temperatures in the same unit: 311.15 K (from 38 °C) and 295 K.
5. Step 5: Determine which temperature is higher by comparing the numerical values in Kelvin. Since 311.15 K > 295 K, the sample at 38 °C is warmer than the sample at 295 K.