[tex]\bold{3.14\times10^3 J}[/tex] energy is needed to change the temperature of 50.0 g of water by 15.0 C.
Temperature is the measurement of the hotness and coldness of any substance.
Given,
Mass of water 50.0 g
Δt = 15.0 °C
The specific heat is 4.18J/g·°C
Now, by the equation of heat capacity
[tex]\bold{ Q = mc \Delta t}\\\\ \bold{ Q = (50.0g)(4.18J/g)(15.0^\circ)} \\\\\bold{ Q = 3135\; J\; or\; 3.14\times10^3 J }[/tex]
Thus, the needed energy is [tex]\bold{3.14\times10^3 J}[/tex].
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