To calculate the final temperature after a certain amount of energy is absorbed by a substance, you can use the specific heat capacity formula. The specific heat capacity (C) of water is approximately 4.18 J/g°C.
The formula for calculating the change in temperature is as follows:
q = m * C * ΔT
where: q is the energy absorbed (in joules), m is the mass of the substance (in grams), C is the specific heat capacity of the substance (in J/g°C), and ΔT is the change in temperature (in °C).
In this case, you want to find the final temperature, so we rearrange the formula as follows:
ΔT = q / (m * C)
Let's substitute the given values into the formula:
q = 840 J (energy absorbed) m = 10.0 g (mass of water) C = 4.18 J/g°C (specific heat capacity of water)
ΔT = 840 J / (10.0 g * 4.18 J/g°C)
Simplifying the calculation:
ΔT = 840 J / 41.8 J/°C
ΔT ≈ 20.1 °C
To find the final temperature, we add the change in temperature to the initial temperature:
Final temperature = Initial temperature + ΔT Final temperature = 25.0°C + 20.1°C Final temperature ≈ 45.1°C
Therefore, the final temperature after 840 joules is absorbed by 10.0g of water at 25.0°C is approximately 45.1°C.