Question

To what final temperature will a 45.0 g piece of glass increase if it absorbs 4576 J of heat if its specific heat capacity is 0.50 J/g °C? The initial temperature of the glass was 22.0 °C.

a) 100.0 °C
b) 156.8 °C
c) 50.0 °C
d) 78.4 °C

Answer 1

To calculate the final temperature of a piece of glass, we can use the formula q = m * c * ΔT. By rearranging the equation, we can find the final temperature of the glass after absorbing a specific amount of heat. In this case, the final temperature is approximately 156.8 °C. The correct answer is option b) 156.8 °C

Step-by-step explanation:

To calculate the final temperature of a piece of glass after absorbing a specific amount of heat, we can use the formula:

q = m * c * ΔT

Where:

q is the heat absorbed or released

m is the mass of the glass

c is the specific heat capacity of the glass

ΔT is the change in temperature

In this case, we have:

m = 45.0 g

c = 0.50 J/g °C

ΔT = final temperature - initial temperature = Unknown - 22.0 °C

q = 4576 J

Using the formula, we can rearrange it to solve for the final temperature:

Unknown = (q / (m * c)) + initial temperature

Substituting the given values, we get:

Unknown = (4576 J / (45.0 g * 0.50 J/g °C)) + 22.0 °C

Simplifying the equation gives:

Unknown = 156.8 °C

Therefore, the final temperature of the glass is approximately 156.8 °C. So the correct answer is b) 156.8 °C.