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Compare the formula Cp - Cv = R for an ...

Compare the formula `C_p - C_v = R` for an ideal gas with the thermodynamics relation `Delta U = Delta Q - P Delta V`.

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To compare the formula \( C_p - C_v = R \) for an ideal gas with the thermodynamic relation \( \Delta U = \Delta Q - P \Delta V \), we can follow these steps: ### Step 1: Understand the Definitions - \( C_p \) is the specific heat at constant pressure. - \( C_v \) is the specific heat at constant volume. - \( R \) is the universal gas constant. - \( \Delta U \) is the change in internal energy. - \( \Delta Q \) is the heat added to the system. ...
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C_(P) -C_(V) for an ideal gas is………….. .

An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding P-V diagrams in column 3 of the table. Consider only the path from state 1 to state 2. W denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic process. Here is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas in n. Which of the following options is the only correct representation of a process in which Delta U = Delta Q - P Delta V ?

Knowledge Check

  • For hydrogen gas C_(p) - C_(v) = a and for oxygen gas C_(p) - C_(v) = b . So, the relation between a and b is given by

    A
    `a = 16` b
    B
    `16 a = b `
    C
    `a = 4 b`
    D
    `a = b `

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