Question

Calculate the mass of water if 74,592 joules of heat raises the temperature from 12 to 61 degrees Celsius.

A) 300 g
B) 600 g
C) 1,200 g
D) 2,400 g

Answer 1

The mass of water is approximately 300 grams.

Step-by-step explanation:

To calculate the mass of water, we can use the equation Q = mcΔT, where Q is the heat energy absorbed by the water, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature. Rearranging the equation, we have m = Q / (cΔT).

Given that the heat absorbed is 74,592 joules, the initial temperature is 12 degrees Celsius, and the final temperature is 61 degrees Celsius, we can plug in these values to calculate the mass of water. The specific heat capacity of water is approximately 4.184 J/g °C.

Using the equation, m = 74,592 J / (4.184 J/g °C * (61 °C - 12 °C)), we find that the mass of water is approximately 300 grams.