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If for same temperature and pressure change, the value of bulk modulus is compared for isothermal process and adiabatic process, which one would be higher?
- a)Isothermal process
- b)Adiabatic process
- c)Value is constant for both the processes
- d)None of the mentioned
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If for same temperature and pressure change, the value of bulk modulus...
Explanation: For isothermal process
K=p
For adiabatic process
K=kp
where K=Bulk modulus
k=Polytropic constant
p=Pressure.
K=p
For adiabatic process
K=kp
where K=Bulk modulus
k=Polytropic constant
p=Pressure.
Most Upvoted Answer
If for same temperature and pressure change, the value of bulk modulus...
Explanation:
The bulk modulus is defined as the ratio of volumetric stress to volumetric strain. It is a measure of the resistance of a material to undergo a change in volume when subjected to an external pressure. The bulk modulus is given by the formula:
Bulk modulus (K) = -V(dP/dV)
where V is the volume of the material, P is the pressure, and dP/dV is the change in pressure with respect to the change in volume.
Comparison of Isothermal and Adiabatic Process:
In an isothermal process, the temperature of the material remains constant while the pressure is changed. In an adiabatic process, there is no exchange of heat between the material and its surroundings while the pressure is changed. In both cases, the pressure is changed while the volume of the material is kept constant.
In an adiabatic process, the change in pressure with respect to the change in volume is greater than in an isothermal process. This is because during an adiabatic process, no heat is exchanged between the material and its surroundings, so the change in pressure is not offset by a corresponding change in temperature. As a result, the bulk modulus is higher for an adiabatic process than for an isothermal process.
Conclusion:
Hence, the correct answer is option 'B' - Adiabatic process.
The bulk modulus is defined as the ratio of volumetric stress to volumetric strain. It is a measure of the resistance of a material to undergo a change in volume when subjected to an external pressure. The bulk modulus is given by the formula:
Bulk modulus (K) = -V(dP/dV)
where V is the volume of the material, P is the pressure, and dP/dV is the change in pressure with respect to the change in volume.
Comparison of Isothermal and Adiabatic Process:
In an isothermal process, the temperature of the material remains constant while the pressure is changed. In an adiabatic process, there is no exchange of heat between the material and its surroundings while the pressure is changed. In both cases, the pressure is changed while the volume of the material is kept constant.
In an adiabatic process, the change in pressure with respect to the change in volume is greater than in an isothermal process. This is because during an adiabatic process, no heat is exchanged between the material and its surroundings, so the change in pressure is not offset by a corresponding change in temperature. As a result, the bulk modulus is higher for an adiabatic process than for an isothermal process.
Conclusion:
Hence, the correct answer is option 'B' - Adiabatic process.
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If for same temperature and pressure change, the value of bulk modulus is compared for isothermal process and adiabatic process, which one would be higher?a)Isothermal processb)Adiabatic processc)Value is constant for both the processesd)None of the mentionedCorrect answer is option 'B'. Can you explain this answer?
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