Calculate the change in temperature when 10.0 g of water releases 150.0 J of heat energy. YOUR ANSWER MUST INCLUDE A NUMBER AND A UNIT TO GET CREDIT! (Unit= °C or C)

Respuesta :

Answer:

[tex]\boxed{\Delta T = 3.58\°\text{C}}[/tex]

Explanation:

The specific heat of water is:

[tex]4.184 \text{ J}/[\text{g}\cdot \°C][/tex]

We can use this in the thermodynamics equation:

[tex]q=mc(\Delta T)[/tex]

where:

  • [tex]m[/tex] = mass
  • [tex]c[/tex] = specific heat of the mass
  • [tex]\Delta T[/tex] = change in temp.

We are trying to solve for change in temperature. So, we can rearrange the equation to:

[tex]\Delta T = \dfrac{q}{mc}[/tex]

↓ plugging in the given values

[tex]\Delta T = \dfrac{(150.0 \ \text{J})}{(10.0 \text{ g})(4.184 \text{ J} / [\text{g} \cdot \°\text{C}])}[/tex]

↓ evaluating using a calculator

[tex]\boxed{\Delta T = 3.58\°\text{C}}[/tex]