High School

Suppose you mix 100.0 g of water at 24.1 °C with 75.0 g of water at 76.1 °C. What will be the final temperature of the mixed water, in °C?

a) 50.0 °C
b) 62.1 °C
c) 37.1 °C
d) 64.0 °C

Answer :

Final answer:

To find the final temperature of the mixed water, we can use the equation for heat transfer and plug in the given values to solve for the final temperature. The final temperature of the mixed water is 37.1 °C. The correct option is C

Explanation:

To find the final temperature of the mixed water, we can use the equation for heat transfer:

Q = mcΔT

Where Q is the heat transferred, m is the mass, and ΔT is the change in temperature. Since the water is the only substance involved, we can assume that the specific heat capacity (c) is the same for both quantities of water. Plugging in the values, we get:

Q1 + Q2 = mcΔT

where Q1 = m1cΔT1 and Q2 = m2cΔT2. Solving for the final temperature (ΔT), we find that the final temperature of the mixed water is 37.1 °C.