contestada

How much heat is required to raise the temperature of 200 g of granite from 10*C to 29*C ? The specific heat of granite is 0.790 J/g•*C

Respuesta :

Answer:

3002 J

Explanation:

To calculate the amount of heat required to raise the temperature of a substance, you can use the heat transfer formula:

[tex]\boxed{\begin{minipage}{8 cm}\textbf{Heat Transfer Formula:}\\\\$Q = mc\Delta T$\\\\Where:\\\\\phantom{ww}$\bullet$ $Q$ is the heat transferred,\\\phantom{ww}$\bullet$ $m$ is the mass,\\\phantom{ww}$\bullet$ $c$ is the specific heat capacity,\\\phantom{ww}$\bullet$ $\Delta T$ is the change in temperature.\end{minipage}}[/tex]

We are given:

  • m = 200 g
  • c = 0.790 J/g°C
  • ΔT = 29°C - 10°C = 19°C

Plugging these values in:

[tex]\Longrightarrow Q = (200 \text{ g})\left(0.790 \ \frac{\text{J}}{\text{g$^\circ$C}}\right)(19^\circ\text{C})\\\\\\\\\therefore Q = \boxed{3002 \text{ J}}[/tex]

Thus, 3002 joules of heat are required to raise the temperature.