Verified Answer :

q=m x Cp x ∆T

m is the mass of the water, Cp is the specific heat of water and ∆T is the change in temperature of the water (final-initial temperature). q is the energy involved in the reaction, measured in joules. 

q=(45.0) x (4.184 Jg^-1/°C^-1) x (45°C)
q=8472.6 Joules

Answer : The amount of heat needed are, 8464.5 J

Explanation :

Formula used :

\(q=m\times c\times (T_{final}-T_{initial})\)

where,

q = heat gained = ?

m = mass of water = 45.0 g

c = specific heat of water = \(4.18J/g^oC\)

\(T_{final}\) = final temperature = \(75.0^oC\)

\(T_{initial}\) = initial temperature = \(30.0^oC\)

Now put all the given values in the above formula, we get:

\(q=45.0g\times 4.18J/g^oC\times (75.0-30.0)^oC\)

\(q=8464.5J\)

Thus, the amount of heat needed are, 8464.5 J