Alculate the amount of heat transferred when 710 grams of water warms from an initial temperature of 4.0 ºC to a final temperature of 25.0 ºC. The specific heat capacity of liquid water is 4.184 J/g ºC. Please express you answer as a number in units of kJ, and be careful about the sign (is the answer a positive or negative number?) since that shows the direction of heat flow.

Respuesta :

Answer:

The Quantity of heat require is [tex]0.062kJ[/tex]

Step-by-step explanation:

This problem bothers on the topic of heat capacity.

Given data

mass of water m=  [tex]710 grams[/tex]

converting from grams to kg we have =[tex]\frac{710}{1000} = 0.71kg[/tex]

initial temperature T1= 4°C

final temperature T2= 25°C

heat capacity of water = [tex]4.184 J/g[/tex]

The expression for the quantity of heat required is given has

[tex]Q= mc(T2-T1)[/tex]

substituting our given data we have

[tex]Q= 0.71*4.184*(25-4)\\Q= 2.97*(21)\\Q= 62.38J\\[/tex]

In kilograms we have to divide by [tex]1000[/tex]

[tex]Q= \frac{62.38}{1000} = 0.062kJ[/tex]