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Question

The volume of gas is reduced to half from its original volume. The specific heat will be :

A
reduce to half
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B
be doubled
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C
remain constant
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D
increase four times
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Solution

The correct option is C remain constant

Specific heat capacity is the ratio of the quantity of heat required to raise the temperature of one gram of the substance by one degree Celsius. It can be written as follows,

c=Emθ

Where,

E-change in energy

θ-change in temperature

m-mass of the gas

c-specific heat

From the above formula, it is clear that specific heat is independent of the mass of a gas. It can be confirmed by its intensive property. It is also known that mass is directly proportional to volume. So, when the volume of a gas isreduced to half from its original volume, the specific heat will be constant.


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