Question

The temperature of equal masses of three different liquids A, B, and C are 12°C, 19°C, and 28°C respectively. The temperature when A and B are mixed is 16°C and when B and C are mixed is 23°C. The temperature when A and C are mixed is:

• A. 18.2°C
• B. 22°C
• C. 20.2°C
• D. 25.2°C

Hint:

To find the equilibrium temperature of mixing two liquids, use the heat balance equation: \( m_1 c (T_1 - T_f) = m_2 c (T_f - T_2) \), where \( m \) is the mass, \( c \) is the specific heat, and \( T_f \) is the final temperature.

Answer 1

The Correct Option is B

Step 1: The temperature of mixing two liquids is calculated based on the principle of thermal equilibrium. The heat lost by the hotter liquid equals the heat gained by the cooler liquid.
Step 2: Using the given data and applying the concept of thermal equilibrium, we can determine that the temperature when A and C are mixed is 22°C.

Final Answer: \[ \boxed{22^\circ \text{C}} \]