Read the assertion and reason carefully to mark the correct option ou...
In adiabatic process, no heat transfer takes place between gas and surrounding
i.e., ΔQ = 0
From definition of specific heat,
C = ΔQ/mΔT = 0
Again, for isothermal process
ΔT = 0
∴ C = ΔQ/mΔT = ∞
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Read the assertion and reason carefully to mark the correct option ou...
Assertion: The specific heat of a gas in an adiabatic process is zero and in an isothermal process is infinite.
Reason: Specific heat of a gas is directly proportional to change of heat in the system and inversely proportional to change in temperature.
The specific heat of a substance is defined as the amount of heat energy required to raise the temperature of a unit mass of the substance by one degree Celsius. It is denoted by the symbol 'C' and is measured in J/kg·°C.
In an adiabatic process, there is no transfer of heat between the system and its surroundings. This means that no heat is added or removed from the system. Therefore, the change in heat (ΔQ) is zero. According to the definition of specific heat, if there is no change in heat, the specific heat of the gas in an adiabatic process is zero. This is because no heat energy is required to change the temperature of the gas.
On the other hand, in an isothermal process, the temperature of the gas remains constant. This means that there is no change in temperature (ΔT). According to the equation for specific heat (Q = m·C·ΔT), if the change in temperature is zero, the specific heat becomes infinite. This is because any change in heat (Q) would result in an infinite specific heat value.
Therefore, the assertion is true. In an adiabatic process, the specific heat of a gas is zero, and in an isothermal process, the specific heat is infinite.
The reason provided also supports the assertion. Specific heat is directly proportional to the change in heat (ΔQ) and inversely proportional to the change in temperature (ΔT). This relationship is expressed by the equation Q = m·C·ΔT, where 'm' is the mass of the substance and 'C' is the specific heat. As mentioned earlier, in an adiabatic process, ΔQ is zero, resulting in a specific heat of zero. In an isothermal process, ΔT is zero, resulting in an infinite specific heat value.
Therefore, both the assertion and reason are true, and the reason is the correct explanation of the assertion. Hence, the correct answer is option 'A'.
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