Question

If a system initially contains 125 g of water at 24.2°C, what is the final temperature if 24.5 g of heat is added?

a) 24.5°C
b) 48.7°C
c) 72.9°C
d) 97.1°C

Answer 1

The final temperature is approximately 24.35°C.

Step-by-step explanation:

In order to find the final temperature, we need to use the formula:

q = mcΔT

Where:

q is the heat added or absorbed

m is the mass of the substance

c is the specific heat capacity of the substance

ΔT is the change in temperature

First, we need to calculate the energy absorbed by the water:

q = mcΔT

q = (125 g)(4.18 J/g·°C)(T - 24.2°C)

Since we know that q = 24.5 g and we want to find the final temperature, we can rearrange the equation:

24.5 g = (125 g)(4.18 J/g·°C)(T - 24.2°C)

Solving for T:

T - 24.2°C = 24.5 g / (125 g)(4.18 J/g·°C)

T - 24.2°C = 0.1487

T = 24.2°C + 0.1487

The final temperature is approximately 24.35°C.