Question

You have a 50.0-g sample of water at 20C. To it, you add a 50g sample of iron at 80C. The final temperature of the water should be

A. Between 50C and 80C
B. Above 80C
C. Between 20C and 50C
D. 50C

Answer 1

When two substances at different temperatures are mixed together, they will eventually reach a common final temperature, known as thermal equilibrium. The final temperature can be calculated using the formula m1c1(T1 - T) = m2c2(T - T2), where m1 and m2 are the masses of the substances, c1 and c2 are the specific heat capacities, T1 and T2 are the initial temperatures, and T is the final temperature. In this case, the final temperature of the water will be between 50°C and 80°C.

Step-by-step explanation:

When two substances at different temperatures are mixed together, they will eventually reach a common final temperature known as thermal equilibrium. This can be determined using the principle of conservation of energy. In this case, the specific heat capacities of water and iron are important in calculating the final temperature.

The formula to calculate the final temperature is:

m1c1(T1 - T) = m2c2(T - T2)

Where:

• m1 and m2 are the masses of water and iron respectively
• c1 and c2 are the specific heat capacities of water and iron respectively
• T1 and T2 are the initial temperatures of water and iron respectively
• T is the final temperature

Plugging in the values given in the question, we can solve for the final temperature. The answer will be between 50°C and 80°C.