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The pressure p, volume V and temperature...

The pressure p, volume V and temperature T for a gas are related by p = `(AT - BT^(2))/(V)`, where A and B are constanst. The work done by the gas when the temperature changes from `T_(1)` to `T_(2)` while the pressure remains constant, is given by

A

`A(T_(2) - T_(1))+B(T_(2)^(2) - T_(1)^(2))`

B

`(A(T_(2)-T_(1)))/(V_(2)-V_(1))-(B(T_(2)^(2)-T_(1)^(2)))/(V_(2)-V_(1))`

C

`A(T_(2)-T_(1))-B(T_(2)^(2)-T_(1)^(2))`

D

`(A(T_(2)-T_(2)^(2)))/(V_(2)-V_(1))`

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Knowledge Check

  • The pressure p, volume V and temperature T for a certain gas are related by p = (AT - BT^(2))/V , where A and B are constants. The work done by the gas when the temperature changes from T_(1) to T_(2) while the pressure remains constant, is given by

    A
    `A(T_(2) - T_(1)) + B(T_(2)^(2) - T_(1)^(2))`
    B
    `(A(T_(2) - T_(1)))/(V_(2) - V_(1)) + (B(T_(2)^(2) - T_(1)^(2)))/(V_(2) - V_(1))`
    C
    `A(T_(2) - T_(1)) - B(T_(2)^(2) - T_(1)^(2))`
    D
    `(A(T_(2) - T_(2)^(2)))/(V_(2) - V_(1))`

  • The pressure p, volume V and temperature T for a certain gas are related by p=(AT-BT^2)/V , where A and B are constants. The work done by the gas when the temperature change from T_1 to T_2 while the pressure remains contant, is given by

    A
    `A(T_2- T_1)+B(t_2^2-T_1^2)
    B
    `(A(T_2- T_1))/(V_2-V_1)-(B(T_2^2-T_1)^2)/(V_2-V_1)`
    C
    `(A(T_2- T_1))-B(T_2^2-T_1^2)`
    D
    `(A(T_2- T_2^2))/(V_2-V_1)`

  • The pressure volume and temperatuere in two samples of a gas are p,V,T and 2p v/4 ,2T respectively The ratio of the number of molecules in the two samples is

    A
    `2:1`
    B
    `4:1`
    C
    `8:1`
    D
    `16:1`

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