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Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?

  • a)
    Gas X has higher temperature

  • b)
    Gas Y has higher pressure

  • c)
    Gas Y has lower pressure

  • d)
    Gas X and Y are at 0 atm pressure

Correct answer is option 'B'. Can you explain this answer?
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Two gases X and Y kept in separate cylinders with same initial tempera...
Work done in isothermal process is greater than work done in adiabatic process so Pressure of X is greater than Y.
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Two gases X and Y kept in separate cylinders with same initial tempera...
Answer:

The correct answer is (c) Gas Y has lower pressure.

Explanation:

Isothermal Compression:
When gas is compressed isothermally, the temperature remains constant throughout the process. The process takes place at a constant temperature, and the pressure and volume of the gas are inversely proportional to each other. In this case, gas X undergoes isothermal compression.

Adiabatic Compression:
When gas is compressed adiabatically, no heat exchange takes place between the gas and the surroundings. The process takes place at a constant rate, and the pressure and volume of the gas are inversely proportional to each other, but the temperature of the gas changes. In this case, gas Y undergoes adiabatic compression.

To find the final pressure of the gases, we can use the ideal gas law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

For gas X:
Since the compression is isothermal, the temperature remains constant, and we can write:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume, respectively, and P2 and V2 are the final pressure and volume, respectively.

Therefore, P2 = (V1/V2)P1

Since V2 = (1/3)V1, we get:

P2 = 3P1

For gas Y:
Since the compression is adiabatic, we can use the adiabatic equation:

P1V1^γ = P2V2^γ

where γ is the ratio of specific heats, which is a constant for a given gas.

Therefore, P2 = P1(V1/V2)^γ

Since V2 = (1/3)V1, we get:

P2 = P1(3)^γ

Since γ > 1 for all gases, we have:

P2 < />

Therefore, gas Y has lower pressure than gas X after compression.

Conclusion:

Gas Y has a lower pressure than gas X after compression, even though they had the same initial temperature and pressure. The reason is that gas Y underwent adiabatic compression, which causes a greater decrease in volume and a greater increase in temperature, leading to a lower final pressure.
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Two gases X and Y kept in separate cylinders with same initial tempera...
Work done in isothermal process is greater than work done in adiabativ process so P of X is greater than Y
 
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Attempt All sub parts from each question.If we turn on our electric oven, and it will warm up the room. Keeping the oven door open, the room gets warm even faster. This is obvious since the purpose of an oven is to make things hot. But the opposite is not true of a refrigerator. Running the refrigerator makes the room warmer. If the door is kept open, the room gets warm up even faster. The first rush of cold air may cool things down a little, but in the long run, the room will get warmer. To see why, we need to think of heat as energy and cold as a lack of energy. The stove produces heat, but the refrigerator can't actually produce cold. All the refrigerator does is move heat, or energy, from one place to another. As the food inside the refrigerator loses its heat or, in other words, gets colder that heat warms up the room A refrigerator is an open system that dispels heat from a closed space to a warmer area, usually in the room. By dispelling the heat from this area, it decreases the temperature inside, allowing food and other items to remain cool. Refrigerators appear to violate the second law of thermodynamics. But actually they do not. Physicists call this kind of system a "heat pump." According to the Second Law of Thermodynamics, heat always flows from hot to cold, and not in the other way around. A refrigerator causes heat to flow from cold to hot by inputting work, which cools the space inside it.It does this by following the steps below:• Work is inputted (Win) which compresses a coolant, increases its temperature above the room temperature.• Heat flows from coolant into the room (QH) reducing the temperature of the coolant.• The coolant expands and it cools down below the temperature inside the refrigerator.• Heat flows from the refrigerator to the coolant (QC) decreasing the temperature inside.So, the heat pump in refrigerator needs energy to run. So while it is busy in moving energy out of the refrigerator and into the room, it also draws more energy in the form of electricity. Since some of that energy is released as heat, the room gets warmer.For refrigerators, a manufacturer would want to make the area colder while doing as little work as possible. By doing little work to cool the appliance, the refrigerator can stay at the desired temperature while using less electricity. The number that describes this idea is known as the coefficient of performance, K, which is essentially a measure of efficiency.The higher this value is, the better the refrigerator, because it means that less work is being done to cool down the refrigerator.Q. In refrigerator, work is inputted which

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Two gases X and Y kept in separate cylinders with same initial temperature and pressure are compressed to one third of their volume through isothermal and adiabatic process respectively. Which gas would have more pressure?a)Gas X has higher temperatureb)Gas Y has higher pressurec)Gas Y has lower pressured)Gas X and Y are at 0 atm pressureCorrect answer is option 'B'. Can you explain this answer?
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