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QuestionWhat is the final temperature of a 50.0 g glass piece after absorbing 5275 J of heat, starting at 20.0°C with a specific heat of 0.50 J/g°C?

Studdy Solution

STEP 1

Assumptions1. The mass of the glass is50.0 g. The heat absorbed by the glass is5275 J3. The specific heat capacity of the glass is0.50 J/g°C4. The initial temperature of the glass is20.0°C5. The final temperature of the glass is what we are trying to find6. The formula for calculating the final temperature when heat is absorbed is given byQ=mcΔQ = mc\DeltaWhereQ = heat absorbed, m = mass, c = specific heat capacity, Δ = change in temperature = final temperature - initial temperature

STEP 2

First, we need to rearrange the formula to solve for the final temperature.
Δ=Qmc\Delta = \frac{Q}{mc}

STEP 3

Now, plug in the given values for Q, m, and c to calculate the change in temperature.
Δ=5275 J50.0 g×0.50 J/g°C\Delta = \frac{5275\, J}{50.0\, g \times0.50\, J/g°C}

STEP 4

Calculate the change in temperature.
Δ=527 J50.0 g×0.50 J/g°C=211°C\Delta = \frac{527\, J}{50.0\, g \times0.50\, J/g°C} =211°C

STEP 5

Now that we have the change in temperature, we can find the final temperature by adding the change in temperature to the initial temperature.
Final temperature=Initial temperature+ΔFinal\, temperature = Initial\, temperature + \Delta

STEP 6

Plug in the values for the initial temperature and the change in temperature to calculate the final temperature.
Final temperature=20.0°C+211°CFinal\, temperature =20.0°C +211°C

STEP 7

Calculate the final temperature.
Final temperature=20.0°C+211°C=231°CFinal\, temperature =20.0°C +211°C =231°CThe final temperature of the glass is231°C.

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