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The molar heat capacity for an ideal gas...

The molar heat capacity for an ideal gas

A

is zero for an adiabatice process

B

is infinite for an isothermal process

C

depends only on the nature of the gas for a process in which either volume or pressure is constant

D

is equal to the product of the molecular weight and specific heat capacity for any process

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The molar heat capacity of an ideal gas ( gamma =1.40) varies during a process according to the law C=20.0 + 500/T . Is the process polytropic ?

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Knowledge Check

  • The molar heat capacity of an ideal gas in a process varies as C=C_(V)+alphaT^(2) (where C_(V) is mola heat capacity at constant volume and alpha is a constant). Then the equation of the process is

    A
    `Ve^(-((alphaT^(2))/(2R)))=` Constant
    B
    `Ve^(-((alphaT^(2))/(R)))=` constant
    C
    `Ve^(-((2alphaT^(2))/(R)))=` constant
    D
    `Ve^(-((3alphaT^(2))/(2R)))=` constant

  • The molar heat capacity C for an ideal gas going through a given process is given by C=a/T , where 'a' is a constant. If gamma=C_p/C_v , the work done by one mole of gas during heating from T_0 to eta T_0 through the given process will be

    A
    `1/a ln eta`
    B
    `aln eta -((eta-1)/(gamma-1)) RT_(0)`
    C
    `aln eta-(gamma-1) RT_(0)`
    D
    none of these

  • For certain process the molar heat capacity of an ideal gas is found to be (C_v+R/2) , where C_v is the molar heat capacity of the same gas at constant volume. For the given process, it can be concluded that

    A
    PV=constant
    B
    `P/V` = constant
    C
    `V^2/P` = constant
    D
    None of these

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    Which of the following is true for the molar heat capacity of an ideal gas? 1.It cannot be negative 2.It has only two values (C_(P) and C_(V) ) 3.It can have any value 4.It cannot be zero

    The molar heat capacity for an ideal monatomic gas is 3R.If dQ is the heat supplied to the gas and dU is the change in its internal energy then for the process the ratio of work done by the gas and heat supplied is equal to

    Determine the average molar heat capacity of an ideal gas under going a process shown in fig.

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