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Four liters of a diatomic ideal gas ( λ 
=1.4
) confined to a cylinder is subject to a closed cycle. Initially, the gas is at 1.00 atm and at 300 K. First, its pressure is tripled under constant volume. Then, it expands adiabatically to its original pressure. Finally, the gas is compressed isobarically to its original volume. Find the temperature at the end of the cycle
  • a)
    276 K
  • b)
    285 K
  • c)
    300 K
  • d)
    332 K
Correct answer is option 'C'. Can you explain this answer?
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Four liters of a diatomic ideal gas (λ=1.4) confined to a cylin...
Such as nitrogen or oxygen) initially at a pressure of 2 atm and a temperature of 300 K undergoes an isothermal expansion to a final volume of 10 liters. What is the final pressure of the gas?

To solve this problem, we can use the ideal gas law equation:

PV = nRT

Where:
P = pressure
V = volume
n = number of moles of gas
R = ideal gas constant
T = temperature

Since we are dealing with an ideal gas, we can assume that the number of moles of gas (n) remains constant throughout the process.

Given:
Initial pressure (P1) = 2 atm
Initial volume (V1) = 4 liters
Final volume (V2) = 10 liters
Initial temperature (T1) = 300 K

We need to find the final pressure (P2).

Using the ideal gas law equation, we can rewrite it as:

P1V1 = P2V2

Substituting the given values, we have:

2 atm * 4 liters = P2 * 10 liters

Simplifying the equation, we get:

8 atm = P2 * 10 liters

Dividing both sides of the equation by 10 liters, we get:

P2 = 8 atm / 10 liters

P2 = 0.8 atm

Therefore, the final pressure of the gas is 0.8 atm.
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Four liters of a diatomic ideal gas (λ=1.4) confined to a cylinder is subject to a closed cycle. Initially, the gas is at 1.00 atm and at 300 K. First, its pressure is tripled under constant volume. Then, it expands adiabatically to its original pressure. Finally, the gas is compressed isobarically to its original volume. Find the temperature at the end of the cyclea)276 Kb)285 Kc)300 Kd)332 KCorrect answer is option 'C'. Can you explain this answer?
Question Description
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