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Two moles of an ideal gas are contained ...

Two moles of an ideal gas are contained in a vertical cylinder with a frictionless piston. The piston is slowly displaced so that expansionin gas is isothermal at temperature `T_(0)=400`K. find the amount of work done in increasing the volume to 3 times.t ake atmospheric pressure `=10^(5)N//m^(2)`

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To solve the problem of finding the work done during the isothermal expansion of an ideal gas, we can follow these steps: ### Step 1: Understanding the Given Data We are given: - Number of moles of gas, \( n = 2 \) moles - Initial temperature, \( T_0 = 400 \) K - Initial pressure, \( P = 10^5 \) N/m² - The volume is increased to 3 times its initial volume, i.e., \( V_f = 3V_i \) ...
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Knowledge Check

  • A monatomic ideal gas, initially at temperature T_(1) is enclosed in a cylinder fitted with a frictionless pistion. The gas is allowed to expand adiabatically to a temperature T_(2) . By releasing the piston suddenly. IF L_(1) and L_(2) are th lengths of the gas column before and after expansion respectively, then T_(1)//T_(2) is given by

    A
    `(L_(1)//L_(2))^(2//3)`
    B
    `(L_(1)//L_(2))`
    C
    `(L_(2)//L_(1))`
    D
    `(L_(2)//L_(1))`

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