To calculate the heat energy needed to heat the water, you can use the formula:
Q = m * c * ΔT
Where:
Q is the heat energy (in joules)
m is the mass of the water (in grams)
c is the specific heat capacity of water (in J/g degrees Celsius)
ΔT is the change in temperature (in degrees Celsius)
Given:
m = 50 grams
c = 4.184 J/g degrees Celsius
ΔT = 55 degrees Celsius - 10 degrees Celsius = 45 degrees Celsius
Substituting the values into the formula:
Q = 50 g * 4.184 J/g degrees Celsius * 45 degrees Celsius
Q = 9382 J
Therefore, the heat energy required to heat the 50 grams of water from 10 to 55 degrees Celsius is 9382 joules.