Answer : The correct option is, (B) 9150 joules
Explanation : Given,
Initial temperature = [tex]40.0^oC[/tex]
Final temperature = [tex]74.0^oC[/tex]
Mass of water = 64.3 g
Specific heat of water = [tex]4.184J/g^oC[/tex]
Formula used :
[tex]Q=m\times C_w\times \Delta T[/tex]
or,
[tex]Q=m\times C_w\times (T_2-T_1)[/tex]
where,
Q = heat absorbed = ?
m = mass of water
[tex]C_w[/tex] = specific heat of water
[tex]T_1[/tex] = initial temperature
[tex]T_2[/tex] = final temperature
Now put all the given value in the above formula, we get:
[tex]Q=64.3g\times 4.184J/g^oC\times (74-40)^oC[/tex]
[tex]Q=9150J[/tex]
Therefore, the heat absorbed will be, 9150 J