How much heat must be absorbed by 375 grams of water to raise its temperature by 25 degrees Celsius? Specific heat for water= 4.184 J/g/C or K

Respuesta :

Answer:

[tex]3.9*10^4 J[/tex]

Explanation:

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Answer:

[tex]\boxed {\boxed {\sf 39, 225 \ Joules}}}[/tex]

Explanation:

Since we are given the mass, temperature, and specific heat, we should use the following formula to calculate heat energy.

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

We have 375 grams of water, the specific heat of water is 4.184 J/g ° C, and the temperature is raised 25 degrees Celsisus. Therefore:

  • m= 375 g
  • c= 4.184 J/g °C
  • ΔT= 25°C

Substitute the values into the formula.

[tex]q= (375 \ g)(4.184 \ J/g \textdegree C)(25 \textdegree C)[/tex]

Multiply the first two values together. The units of grams will cancel.

[tex]q=1569 \ J/ \textdegree C(25 \textdegree C)[/tex]

Multiply again. This time, the degrees Celsius cancel, so we are left with only the units of Joules.

[tex]q= 39225 \ J[/tex]

39,255 Joules of heat must be absorbed by the water.