what is the total number of joules released when a 5.00 gram sample of water changes from liquid to gas at 100 degrees Celsius?

To calculate the total number of joules released when a substance changes from a liquid to a gas, we need to use the heat of vaporization formula. The formula is:

q = m × Hv

Where:
q = total heat energy (in joules)
m = mass of the substance (in grams)
Hv = heat of vaporization (in joules/gram)

For water, the heat of vaporization is approximately 40.7 joules/gram.

Given:
m = 5.00 grams
Hv = 40.7 joules/gram

Now, let's calculate the total heat energy released:

q = 5.00 grams × 40.7 joules/gram

To compute this, multiply the mass of water (5.00 grams) by the heat of vaporization (40.7 joules/gram):

q = 203.5 joules

Therefore, the total number of joules released when a 5.00-gram sample of water changes from liquid to gas at 100 degrees Celsius is 203.5 joules.

To determine the total number of joules released when a 5.00 gram sample of water changes from liquid to gas at 100 degrees Celsius, we need to calculate the heat energy using the specific heat capacity and the heat of vaporization.

The specific heat capacity of water is 4.18 Joules/gram°C, and the heat of vaporization for water is approximately 2260 Joules/gram.

We can use the following steps to calculate the total heat energy released:

Step 1: Determine the heat energy required to raise the temperature of the water from its initial temperature (assuming it is 0 degrees Celsius) to its boiling point (100 degrees Celsius).
Q1 = mass × specific heat capacity × temperature change
Q1 = 5.00 g × 4.18 J/g°C × (100°C - 0°C)
Q1 = 2090 Joules

Step 2: Determine the heat energy required for the phase change from liquid to gas.
Q2 = mass × heat of vaporization
Q2 = 5.00 g × 2260 J/g
Q2 = 11,300 Joules

Step 3: Add the values of Q1 and Q2 to find the total heat energy released.
Total heat energy released = Q1 + Q2
Total heat energy released = 2090 Joules + 11,300 Joules
Total heat energy released = 13,390 Joules

Therefore, the total number of joules released when a 5.00 gram sample of water changes from liquid to gas at 100 degrees Celsius is 13,390 Joules.

q = mass H2O x delta Hvap.