Calculate the heat energy required to raise the temperature of 4.0kg of mercury from 10c to 70c
The specific heat capacity of mercury is 138 J/kg·°C.
To calculate the heat energy required to raise the temperature of 4.0 kg of mercury from 10 °C to 70 °C, we can use the formula:
Q = mcΔT
Where:
Q = heat energy required (in joules)
m = mass of the substance (in kilograms)
c = specific heat capacity of the substance (in J/kg·°C)
ΔT = change in temperature (in °C)
Plugging in the given values:
Q = (4.0 kg) × (138 J/kg·°C) × (70 °C - 10 °C)
Q = (4.0 kg) × (138 J/kg·°C) × (60 °C)
Calculating further:
Q = 33,120 J
The heat energy required to raise the temperature of 4.0 kg of mercury from 10 °C to 70 °C is 33,120 joules.
To calculate the heat energy required to raise the temperature of a substance, we can use the equation:
Q = mcΔT
Where:
Q = heat energy (in joules)
m = mass of the substance (in kilograms)
c = specific heat capacity of the substance (in joules per kilogram per degree Celsius)
ΔT = change in temperature (in degrees Celsius)
Let's calculate it step-by-step:
Step 1: Determine the mass of the substance
Given: mass of mercury = 4.0 kg
Step 2: Determine the specific heat capacity of mercury
The specific heat capacity of mercury is approximately 139 J/(kg°C) or 0.139 kJ/(kg°C).
Step 3: Determine the change in temperature
Given: initial temperature = 10°C, final temperature = 70°C
ΔT = final temperature - initial temperature
ΔT = 70°C - 10°C
ΔT = 60°C
Step 4: Calculate the heat energy required
Q = mcΔT
Q = (4.0 kg)(0.139 kJ/(kg°C))(60°C)
Q ≈ 33.36 kJ
Therefore, approximately 33.36 kJ of heat energy is required to raise the temperature of 4.0 kg of mercury from 10°C to 70°C.
To calculate the heat energy required to raise the temperature of a substance, you can use the equation:
Q = mcΔT
Where:
Q = heat energy
m = mass of the substance
c = specific heat capacity
ΔT = change in temperature
For mercury, the specific heat capacity is approximately 0.140 J/g°C.
First, we need to convert the mass of mercury to grams, since the specific heat capacity is given in grams:
Mass of mercury = 4.0 kg * 1000 g/kg = 4000 g
Next, we can substitute the values into the equation:
Q = (4000 g) * (0.140 J/g°C) * (70°C - 10°C)
Now we can calculate the heat energy:
Q = (4000 g) * (0.140 J/g°C) * (60°C)
Q = 33,600 J
Therefore, the heat energy required to raise the temperature of 4.0 kg of mercury from 10°C to 70°C is 33,600 J (joules).