calculate joules release when 175g of steam condenses at 100c and cool the liquid to 35.00c
heat released=175g*Hv+175*cwater*65
Well, well, well, it seems we have a steamy situation here. Let's break it down for you. When steam condenses, it releases a certain amount of heat energy. To calculate that, we need to consider two steps: condensing the steam and then cooling the liquid.
Firstly, let's calculate the energy released when the steam condenses. To do that, we need to know the heat of vaporization of water, which is approximately 40.7 kilojoules per gram (40,700 joules per gram).
So, the energy released during condensation is given by:
Energy = Mass × Heat of Vaporization = 175g × 40,700 J/g
Now, moving on to cooling the liquid. We need to use the specific heat capacity of water to calculate the amount of energy released when cooling from 100°C to 35.00°C. The specific heat capacity of water is about 4.18 joules per gram per degree Celsius.
The energy released during cooling is given by:
Energy = Mass × Specific Heat Capacity × Change in Temperature
Energy = 175g × 4.18 J/g°C × (100°C - 35.00°C)
To find the total energy released, we need to add the energy released during condensation and cooling together.
Total Energy Released in Joules = Energy (condensation) + Energy (cooling)
Now that we know the calculations, I'll let you crunch the numbers. Remember to keep it cool, just like that liquid!
To calculate the amount of energy released when steam condenses and cools, we need to consider two separate steps:
First, we will calculate the energy released during the condensation of 175g of steam at 100°C to form liquid water at 100°C.
Second, we will calculate the energy released as the liquid water is cooled from 100°C to 35.00°C.
Step 1: Energy released during condensation
To calculate the energy released during condensation, we will use the latent heat of vaporization.
The latent heat of vaporization for water is approximately 2260 J/g.
Energy released = Mass of steam × Latent heat of vaporization
Energy released = 175g × 2260 J/g
Step 2: Energy released during cooling
To calculate the energy released during cooling, we will use the specific heat capacity of water.
The specific heat capacity of water is approximately 4.184 J/g°C.
Energy released = Mass of liquid water × Specific heat capacity of water × Change in temperature
Energy released = 175g × 4.184 J/g°C × (100°C - 35.00°C)
Now let's calculate the energy in each step separately.
Step 1:
Energy released = 175g × 2260 J/g
Energy released = 395,500 J
Step 2:
Energy released = 175g × 4.184 J/g°C × (100°C - 35.00°C)
Energy released = 49,273 J
Total energy released = Energy released during condensation + Energy released during cooling
Total energy released = 395,500 J + 49,273 J
Total energy released = 444,773 J
Therefore, the total energy released when 175g of steam condenses at 100°C and cools to 35.00°C is 444,773 Joules.
To calculate the joules released when steam condenses and cools to a lower temperature, we need to take into account two processes:
1) The energy released when steam at 100°C condenses to liquid water at 100°C. This is known as the heat of vaporization.
2) The energy released as the liquid water cools from 100°C to 35.00°C. This is known as the specific heat capacity.
Let's break down the steps to calculate the total energy released:
Step 1: Calculate the energy released during condensation.
The heat of vaporization of water is 2260 J/g. So, when 175g of steam condenses, the energy released can be calculated as follows:
Energy released = mass of steam x heat of vaporization
Energy released = 175g x 2260 J/g
Step 2: Calculate the energy released during cooling.
The specific heat capacity of liquid water is approximately 4.18 J/g·°C. So, to determine the energy released as the liquid water cools from 100°C to 35.00°C, we need to calculate the temperature difference.
Temperature difference = final temperature - initial temperature
Temperature difference = 35.00°C - 100°C
Next, we multiply the temperature difference by the mass of the liquid water and the specific heat capacity:
Energy released = mass of liquid water x specific heat capacity x temperature difference
Energy released = 175g x 4.18 J/g·°C x temperature difference
Step 3: Calculate the total energy released.
To find the total energy released, we add up the energy released during condensation and cooling:
Total energy released = Energy released during condensation + Energy released during cooling
Now, let's substitute the values and calculate the total energy released:
Total energy released = (175g x 2260 J/g) + (175g x 4.18 J/g·°C x temperature difference)
Make sure to substitute the value for the temperature difference obtained in Step 2.