Assertion (A): When a gas is forced steadily through an insulated pipe...
Expansion through the porous plug is adiabatic as no heat added or rejected to the system. It is not reversible, due to large irreversibility entropy increases so it is not an isentropic process.
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Assertion (A): When a gas is forced steadily through an insulated pipe...
Assertion (A): When a gas is forced steadily through an insulated pipe containing a porous plug, the enthalpy of gas is the same on both sides of the plug.
Reason (R): The gas undergoes an isentropic expansion through the porous plug.
The correct answer is option C, i.e., Assertion (A) is true but Reason (R) is false.
Explanation:
Assertion (A): When a gas is forced steadily through an insulated pipe containing a porous plug, the enthalpy of gas is the same on both sides of the plug.
The enthalpy of a gas is defined as the sum of its internal energy and the product of its pressure and volume. In this case, the gas is forced steadily through an insulated pipe, which means there is no heat transfer between the gas and its surroundings. Since the pipe is insulated, the gas does not exchange any heat with the surroundings, and thus there is no change in enthalpy.
Therefore, Assertion (A) is true.
Reason (R): The gas undergoes an isentropic expansion through the porous plug.
An isentropic process is a reversible and adiabatic process, where there is no heat transfer and the entropy remains constant. In this case, the gas is forced through a porous plug, which allows the gas to expand. However, the expansion through the porous plug is not necessarily isentropic.
The porous plug allows the gas to flow through it, but it does not guarantee that the expansion is isentropic. The isentropic expansion of a gas requires specific conditions such as reversible and adiabatic processes, which may not be satisfied in this scenario.
Therefore, Reason (R) is false.
In conclusion, Assertion (A) is true because there is no change in the enthalpy of the gas when it is forced steadily through an insulated pipe. However, Reason (R) is false because the gas expansion through the porous plug is not necessarily isentropic.
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