If 720.0 grams of steam at 400.0 degrees Celsius absorbs 800.0 kJ of energy, what will be its increase in temperature?
See your other post. Same formula.
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To find the increase in temperature of steam, we can use the specific heat capacity formula:
q = mcΔT
Where:
q = heat energy absorbed (in joules)
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in J/g°C)
ΔT = change in temperature (in °C)
Given:
mass of steam (m) = 720.0 grams
heat energy absorbed (q) = 800.0 kJ = 800,000 J
initial temperature (T1) = 400.0°C
We need to find the change in temperature (ΔT), so let's rearrange the formula:
ΔT = q / (mc)
Let's calculate the specific heat capacity of steam first. The specific heat capacity of water or steam is approximately 4.18 J/g°C.
c = 4.18 J/g°C
Now we can substitute the given values into the formula to find the change in temperature:
ΔT = 800,000 J / (720.0 g * 4.18 J/g°C)
Calculating this will give us the change in temperature.
To determine the increase in temperature, we need to use the specific heat capacity equation:
q = mcΔT
Where:
- q represents the energy transferred to the substance (in this case, steam)
- m is the mass of the substance
- c is the specific heat capacity of the substance
- ΔT is the change in temperature
In this case, we are given the mass of the steam (m = 720.0 g) and the energy transferred to the steam (q = 800.0 kJ). We need to find the change in temperature (ΔT).
First, we need to convert the given mass from grams to kilograms:
720.0 g = 0.7200 kg
Next, we need to convert the given energy from kilojoules to joules:
800.0 kJ = 800,000 J
The specific heat capacity of steam is approximately 2.03 J/g°C.
Now, we can substitute the values into the equation and solve for ΔT:
800,000 J = (0.7200 kg) * (2.03 J/g°C) * ΔT
Simplifying the equation:
800,000 J = 1.4656 kg°C * ΔT
Dividing both sides of the equation by 1.4656 kg°C:
ΔT = 800,000 J / 1.4656 kg°C
Calculating the value:
ΔT ≈ 545,946.97°C
Therefore, the increase in temperature of the steam will be approximately 545,946.97 degrees Celsius.