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Question

Question: How much heat (in \( \text{kJ} \) ) is absorbed when \( 24.8~\text{g} {{\text{H}}_{2}}\text{O}(l) \)...

How much heat (in kJ\text{kJ} ) is absorbed when 24.8 gH2O(l)24.8~\text{g} {{\text{H}}_{2}}\text{O}(l) at 100C100^{\circ} \text{C} and 101.3kPa101.3 \text{kPa} is converted to steam at 100C?100^{\circ} \text{C} ?

Explanation

Solution

The Heat of Vaporization is the amount of heat that needs to be absorbed at a constant temperature to vaporize a specific amount of liquid. The kinetic energy of the steam is demonstrated to be higher than the kinetic energy of the fluid if the solutions of vapour and liquid states are compared.

Formula Used: We will use the following formula to solve the question above
q=m×ΔHvq=m\times \Delta {{H}_{v}}
Where
qq is the heat energy
mm is the mass of water
ΔHv\Delta {{H}_{v}} is the heat of vaporization.

Complete Step-by-Step Solution
According to the question, the reaction can be shown as follows:
H2O(l)+ΔH2O(g)H_{2} O(l)+\Delta \rightarrow H_{2} O(g)
Water is converted to its vapour form. This indicated that the water is already at its boiling temperature and the only thing we require to solve this question is the heat of vaporization of water
The heat of vaporization of water, ΔHv\Delta {{H}_{v}} is 2257J/g2257 J/g
The mass of the water is given as 24.8g24.8 g
Now, we will put all the known values into the formula stated above
q=m×ΔHvq=m\times \Delta {{H}_{v}}
Upon substituting the values, we obtain
q=24.8×2257q=24.8\times 2257
On solving, we obtain
q=5973.6Jq=5973.6 J
We can rewrite it as
q=55.97kJ\therefore q=55.97 kJ
Hence, the required heat is 55.97kJ55.97 kJ .

Additional Information
In other words, we can say that vaporization heat is the total quantity of heat required to convert a specific quantity of liquid into its vapor form without any major temperature increase.

Note
This is a very simple problem which is directly based on a single formula. Students should remember the value of heat of vaporization of water or else they would never be able to come to the conclusion of the given problem.