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The work done in an open vessel at 300 k, when 112 g iron reacts with dil HCL to give FeCl2, is nearly 1)1.1Kcal 2)0.6 Kcal 3)0.3 Kcal 4) 0.2 Kcal
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The work done in an open vessel at 300 k, when 112 g iron reacts with ...
The work done in an open vessel at 300 K when 112 g of iron reacts with dilute hydrochloric acid (HCl) to give FeCl2 can be calculated using the equation:

Work done = -PΔV

Where P is the pressure and ΔV is the change in volume.

1. Calculation of moles of iron:
The first step is to calculate the number of moles of iron (Fe) present in the given mass.
The molar mass of iron (Fe) is 55.845 g/mol.
Therefore, the number of moles of Fe = (mass of Fe) / (molar mass of Fe)
= 112 g / 55.845 g/mol
≈ 2 moles

2. Calculation of moles of FeCl2:
The balanced chemical equation for the reaction of iron with HCl is:
Fe + 2HCl → FeCl2 + H2
According to the balanced equation, 1 mole of Fe reacts to give 1 mole of FeCl2.
Therefore, the number of moles of FeCl2 formed = 2 moles

3. Calculation of work done:
In an open vessel, the pressure remains constant, so the work done can be calculated as:
Work done = -PΔV
Since the pressure remains constant, PΔV is equal to ΔnRT, where Δn is the change in the number of moles, R is the ideal gas constant, and T is the temperature.

Δn = (moles of product) - (moles of reactant)
= (2 moles) - (0 moles) (since Fe is not a gas)
= 2 moles

R = 0.0821 L·atm/mol·K (ideal gas constant)
T = 300 K (temperature)

Work done = -PΔV
= -ΔnRT
= -(2 moles)(0.0821 L·atm/mol·K)(300 K)
≈ -49.26 L·atm

To convert L·atm to calories, we can use the conversion factor:
1 L·atm = 101.3 J
1 J = 0.239005736 calories

Therefore, work done = -49.26 L·atm × (101.3 J / 1 L·atm) × (0.239005736 calories / 1 J)
≈ -1180.73 calories

The negative sign indicates that work is done on the system (exothermic reaction). To convert calories to kilocalories, divide by 1000.

Therefore, work done = -1180.73 calories / 1000
≈ -1.18 kcal

Since the question asks for the approximate value, we can round it to 1.2 kcal.

Therefore, the work done in the open vessel at 300 K when 112 g of iron reacts with dilute HCl to give FeCl2 is nearly 1.2 kcal.
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Read the following text and answer the following questions on the basis of the same:Microwave oven:The spectrum of electromagnetic radiation contains a part known as microwaves. These waves have frequency and energy smaller than visible light and wavelength larger than it. What is the principle of a microwave oven and how does it work ? Our objective is to cook food or warm it up. All food items such as fruit, vegetables, meat, cereals, etc., contain water as a constituent. Now, what does it mean when we say that a certain object has become warmer? When the temperature of a body rises, the energy of the random motion of atoms and molecules increases and the molecules travel or vibrate or rotate with higher energies. The frequency of rotation of water molecules is about 2.45 gigahertz (GHz). If water receives microwaves of this frequency, its molecules absorb this radiation, which is equivalent to heating up water. These molecules share this energy with neighbouring food molecules, heating up the food. One should use porcelain vessels and non metal containers in a microwave oven because of the danger of getting a shock from accumulated electric charges. Metals may also melt from heating. The porcelain container remains unaffected and cool, because its large molecules vibrate and rotate with much smaller frequencies, and thus cannot absorb microwaves. Hence, they do not get eaten up. Thus, the basic principle of a microwave oven is to generate microwave radiation of appropriate frequency in the working space of the oven where we keep food. This way energy is not wasted in heating up the vessel. In the conventional heating method, the vessel on the burner gets heated first and then the food inside gets heated because of transfer of energy from the vessel. In the microwave oven, on the other hand, energy is directly delivered to water molecules which are shared by the entire food.Q. In the microwave oven,

The work done in an open vessel at 300 k, when 112 g iron reacts with dil HCL to give FeCl2, is nearly 1)1.1Kcal 2)0.6 Kcal 3)0.3 Kcal 4) 0.2 Kcal
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