To determine the mass of water when a certain amount of heat is added and the temperature change is known, we can utilize the specific heat capacity of water.
The formula for calculating the amount of heat transferred to a substance is given by:
Q = m * c * ΔT
Where: Q is the heat transferred, m is the mass of the substance, c is the specific heat capacity of the substance, ΔT is the change in temperature.
In the case of water, the specific heat capacity (c) is approximately 4.18 J/g·°C.
In your scenario, we have the following information: Q = 1000 J (heat added) ΔT = 10 °C (temperature change)
Plugging these values into the formula, we have:
1000 J = m * 4.18 J/g·°C * 10 °C
Simplifying the equation:
1000 J = m * 41.8 J/g
To solve for the mass (m), we divide both sides of the equation by 41.8 J/g:
m = 1000 J / 41.8 J/g
m ≈ 23.92 g
Therefore, the mass of the water is approximately 23.92 grams when 1000 joules of heat is added and the temperature increases by 10 °C.