How many calories must be added to 2.5 g of water at 10°C to heat it to 85.5°C? (Specific heat of water = 1 cal/g·°C)

• A. 213
• B. 75
• C. 189
• D. 95

Answer: (C)

Verified step by step guidance

1. Identify the known values: mass of water (m) = 2.5 g, initial temperature (T_i) = 10°C, final temperature (T_f) = 85.5°C, and specific heat capacity of water (c) = 1 cal/g·°C.
2. Calculate the temperature change (ΔT) using the formula: \(\Delta T = T_f - T_i\).
3. Use the heat energy formula: \(q = m \times c \times \Delta T\), where \(q\) is the heat energy in calories.
4. Substitute the known values into the formula: \(q = 2.5 \times 1 \times (85.5 - 10)\).
5. Perform the multiplication to find the amount of heat energy (calories) required to raise the temperature of the water from 10°C to 85.5°C.