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Boyle's law is applicable for an...

Boyle's law is applicable for an

A

adicabatic process

B

isothermal peocess

C

isobaric process

D

isochoric process

Text Solution

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The correct Answer is:
To solve the question "Boyle's law is applicable for an", we need to understand the context of Boyle's law and the types of thermodynamic processes mentioned in the options. ### Step-by-Step Solution: 1. **Understand Boyle's Law**: Boyle's law states that for a given mass of an ideal gas at constant temperature, the product of pressure (P) and volume (V) is constant. Mathematically, this can be expressed as: \[ PV = k \] where \( k \) is a constant. 2. **Identify the Conditions of Boyle's Law**: The key condition for Boyle's law to hold is that the temperature must remain constant throughout the process. This means that any changes in pressure must be accompanied by corresponding changes in volume, such that their product remains constant. 3. **Analyze the Given Options**: - **Adiabatic Process**: This is a process where no heat is exchanged with the surroundings. The temperature can change, so Boyle's law does not apply here. - **Isothermal Process**: This is a process that occurs at a constant temperature. This is the condition under which Boyle's law is applicable. - **Isobaric Process**: This is a process that occurs at constant pressure. Since pressure is not constant in Boyle's law, it does not apply here. - **Isophoric Process**: This is a process that occurs at constant volume. Again, this does not align with the conditions of Boyle's law. 4. **Conclusion**: Based on the analysis, the only process where Boyle's law is applicable is the isothermal process. ### Final Answer: Boyle's law is applicable for an **isothermal process**.

To solve the question "Boyle's law is applicable for an", we need to understand the context of Boyle's law and the types of thermodynamic processes mentioned in the options. ### Step-by-Step Solution: 1. **Understand Boyle's Law**: Boyle's law states that for a given mass of an ideal gas at constant temperature, the product of pressure (P) and volume (V) is constant. Mathematically, this can be expressed as: \[ PV = k \] ...
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