If 1,079.75 Joules of heat are added to 77.75 grams of water, by how many degrees Celsius would the water increase? Assume water is in the liquid state.

Respuesta :

Answer:

If 1,079.75 Joules of heat are added to 77.75 grams of water, by 3.32 degrees Celsius the temperature of  water will increase

[tex]\Delta T=3.32 C^{0}[/tex]

Explanation:

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

Here , q = heat added / removed from the substance

m  = mass of the substance taken

[tex]\Delta T[/tex] = Change in temperature

C = specific heat capacity of the substance

In liquid state the value of C for water is :

[tex]4.18 J/gC^{0}[/tex]

Given values :

q = 1079.75 J

m = 77.75 gram

Insert the value of C, m , q in the given equation

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

on transposing ,

[tex]\Delta T=\frac{q}{mC}[/tex]

[tex]\Delta T=\frac{1079.75}{77.75\times 4.18}[/tex]

[tex]\Delta T=3.32 C^{0}[/tex]