Respuesta :

Answer: 4200 calories

Let's start by explaining that 1 Calorie ([tex]1 cal[/tex]) is defined as a unit of thermal energy that is equivalent to the amount of heat ([tex]Q[/tex]) needed to raise the temperature of 1 gram [tex]1g[/tex] of water by 1 degree Celsius [tex]1\°C[/tex].

The formula to calculate it is:

[tex]Q=m. c. \Delta T[/tex]   (1)

Where:

[tex]m[/tex]  is the mass

[tex]c[/tex]  is the specific heat of the element. In the case of water [tex]c=1cal/g[/tex]

[tex]\Delta T[/tex]  is the variation in temperature, which in this case is  [tex]\Delta T=70\°C-30\°C=40\°C[/tex]  

Rewriting equation (1) with the known values:

[tex]Q=(105g)(1 cal/g)(40\°C)[/tex]  

[tex]Q=4200 cal[/tex]