Question

A cup has 12.9 g of water at 24.8 °C. If 504 J of heat are added to the cup, what will be the final temperature?

Answer 1

The final temperature of the water in the cup will be approximately 34.22 °C.

Step-by-step explanation:

To determine the final temperature of water after adding a certain amount of heat, we use the formula:

q = mcΔT

Where:

q is the amount of heat added, in joules

m is the mass of the water, in grams

c is the specific heat capacity of water, which is 4.184 J/g°C

ΔT is the change in temperature, in °C

For the given problem:

“m” is 12.9 g

“q” is 504 J

Starting temperature is 24.8 °C

First, solve for ΔT:

ΔT = q / (mc)

Then add ΔT to the initial temperature to find the final temperature.

Plugging in the given values, we have:

ΔT = 504 J / (12.9 g * 4.184 J/g°C)

ΔT ≈ 9.42 °C

Therefore, the final temperature of the water in the cup will be approximately 24.8 °C + 9.42 °C

= 34.22 °C.