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Plot a graph between internal energy U a...

Plot a graph between internal energy U and Temperature (T) of an ideal gas.

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To plot a graph between internal energy (U) and temperature (T) of an ideal gas, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Relationship**: - For an ideal gas, the internal energy (U) is directly proportional to the temperature (T). This relationship can be expressed mathematically as: \[ U = nC_vT ...
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The relation between the internal energy (U) versus temeperature (T) for a 3 mole ideal gas in an isochoric process is given as U=alpha+betaT where alpha and beta are constant. If the specific heat capacity of the gas for above process is (beta)/(m) find the value of m.

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Knowledge Check

  • There are two samples A and B, which contains two different gases. Each sample has one mole of a gas. Graph between internal energy (E) and temperature (T) as shown in figure, then:

    A
    A contains He, B contains `N_2`
    B
    B contains `N_2`, A contains `O_2`
    C
    A contains `CO_2`, B contains He
    D
    A contains He, B contains `CO_2`

  • The graph between the (velocity^(2)) and temperature T of a gas is

    A
    B
    C
    D

  • The internal energy of one mole of an ideal gas is

    A
    `(3)/(2)RT`
    B
    `(1)/(2)KT`
    C
    `(1)/(2)RT`
    D
    `(3)/(2)KT`

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    Explore conceptually related problems

    Change in internal energy in an isothermal process for ideal gas is

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    For an ideal gas the relationship between internal energy change Delta U and enthalpy change Delta H is

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