a 100 mL {100 grams} of water at 4.0 degrees celsius is heated until its tempurture is 37 degrees celcus. if the specific heat of water is 4.18 joules/grams degrees celcus calculate the amount of heat energy needed to cause this rise in tempurture
To calculate the amount of heat energy needed to cause the rise in temperature of water, you can use the formula:
Q = m * c * ΔT
Where:
Q is the heat energy
m is the mass of water
c is the specific heat capacity of water
ΔT is the change in temperature
Given:
Mass of water (m) = 100 grams
Specific heat capacity of water (c) = 4.18 joules/gram °C
Change in temperature (ΔT) = (37 °C) - (4 °C) = 33 °C
Now, substitute the given values into the formula:
Q = 100 grams * 4.18 joules/gram °C * 33 °C
Simplifying the calculation:
Q = 13,794 joules
Therefore, the amount of heat energy needed to cause this rise in temperature is 13,794 joules.