An ideal gas in a Cylinder is Compressed adiabatic ally to one - third...
dw = -20J
for adiabatic process
dO = du + dw = 0
du = - dw
du = 20J
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An ideal gas in a Cylinder is Compressed adiabatic ally to one - third...
dw = -20J
for adiabatic process
dO = du + dw = 0
du = - dw
du = 20J
An ideal gas in a Cylinder is Compressed adiabatic ally to one - third...
Explanation:
1. Adiabatic Process:
An adiabatic process is one in which no heat is exchanged between the system and its surroundings. In other words, the process is thermally isolated. This means that there is no heat transfer into or out of the system during the compression.
2. Change in Internal Energy:
The internal energy of a gas is related to its temperature. In an adiabatic process, where no heat is exchanged, the change in internal energy is due to work done on or by the gas. The equation for the change in internal energy is given by:
ΔU = Q - W
Where ΔU is the change in internal energy, Q is the heat transfer, and W is the work done on or by the system.
3. Work done on the Gas:
In this case, 20 J of work is done on the gas by the compressing agent. Since work is done on the gas, it means that the internal energy of the gas increases. Therefore, option 'B' is the correct answer.
4. Temperature of the Gas:
The temperature of an ideal gas is directly proportional to its internal energy. When work is done on the gas, increasing its internal energy, the temperature of the gas also increases. Therefore, the temperature of the gas in this process does not decrease, as stated in option 'D'.
Conclusion:
In this adiabatic process, 20 J of work is done on the gas, which increases its internal energy. Therefore, option 'B' is the correct statement for this case.