950 J of energy is used to heat an unknown mass of copper from 20.0° C to 95.0° C. The specific heat of copper = 0.39 J/(g·°C).
What is the mass of the copper?
q = 950 = mass Cu x specific heat Cu x (Tfinal-Tintial)
To calculate the mass of the copper, we can use the formula:
q = m * c * ΔT
where:
q = heat energy (in Joules)
m = mass of the substance (in grams)
c = specific heat (in J/(g·°C))
ΔT = change in temperature (in °C)
From the given information:
q = 950 J
c = 0.39 J/(g·°C)
ΔT = (95.0 - 20.0) °C = 75.0 °C
Substituting the values into the formula, we get:
950 J = m * 0.39 J/(g·°C) * 75.0 °C
Divide both sides of the equation by (0.39 J/(g·°C) * 75.0 °C):
m = 950 J / (0.39 J/(g·°C) * 75.0 °C)
m ≈ 326.966 g
Therefore, the mass of the copper is approximately 326.966 grams.
To find the mass of the copper, we can use the formula:
Q = mcΔT
where:
Q is the amount of heat energy (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, we know that Q = 950 J, c = 0.39 J/(g·°C), ΔT = (95.0°C - 20.0°C) = 75.0°C, and we want to find the mass, m.
Rearranging the formula, we have:
m = Q / (c * ΔT)
Substituting the known values:
m = 950 J / (0.39 J/(g·°C) * 75.0°C)
Calculating this expression gives:
m ≈ 324.7 g
Therefore, the mass of the copper is approximately 324.7 grams.