The specific heat of ethanol is 0.59 cal/g Celsius If one adds 450 cal of heat to 37 g of ethanol at 20 celsius what would the final temp be
To determine the final temperature of the ethanol after adding 450 cal of heat, we can use the formula:
Q = m * c * ΔT
where:
Q is the heat energy absorbed or released (in calories),
m is the mass of the substance (in grams),
c is the specific heat capacity of the substance (in cal/g °C), and
ΔT is the change in temperature (in °C).
First, let's calculate the heat energy absorbed by the ethanol:
Q = 450 cal
Next, we can substitute the given values into the formula:
450 cal = 37 g * 0.59 cal/g °C * ΔT
Simplifying the equation:
450 cal = 21.83 cal/°C * ΔT
To solve for ΔT, we divide both sides of the equation by 21.83 cal/°C:
ΔT = 450 cal / 21.83 cal/°C
ΔT ≈ 20.6 °C
Now, we can calculate the final temperature by adding ΔT to the initial temperature:
Final temperature = 20 °C + 20.6 °C
Final temperature ≈ 40.6 °C
Therefore, the final temperature of the ethanol would be approximately 40.6 °C.
q = mass EtOH x specific heat EtOH x (Tfinal-Tinitial)
Substitute and solve for Tf.