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A dry gas occupies 136.5 cm^(3) at STP. ...

A dry gas occupies 136.5 `cm^(3)` at STP. If the same mass of the gas is collected over water at `27^(@)`C at a total pressure of 725 torr, what volume does it occupy? (The vapour pressure of water at `27^(@)C` is 25 torr.)

A

`157.3 cm^3`

B

`162.9 cm^3`

C

`159.2 cm^(3)`

D

`160.9 cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
At ` 27^(@)C, P_("dry gas")=P_("moist gas ") -P_("water vapour")=725-25=700` torr
Applying ,`(P_1 V_1)/(T_1) = (P_2 V_2)/(T_2)`
At STP , `P_1 = 760 ` torr , `P_2 = 700 ` torr , `V_1 = 136.5 cm^(3), V_2 = ?`
`T_2 = 273 K , T_2 =27^(@) C = (273 + 27) = 300 K`
`V_2 = (760 xx 136. 5)/(273) xx (300)/(700) = 162.9 cm^(3)`
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Knowledge Check

  • If 720 litres of a gas were collected over water at 25^(@)C and 720 mm then the volume of the dry gas at the same temperature and pressure is (aq. Tension of water at 25^(@)C = 23.8 mm)

    A
    696.2 litres
    B
    360 litres
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    743.8 litres
    D
    1440 litres

  • An aqueus solution of NA_(2)SO_(4) was electrolysed for 10 min. 82 ml of a gas was produced at anode over water at 27^(@)C at a total pressure of 580 torr. Determine the curretn that was used. (Vapour pressure of H_(2)O at 27^(@)C = 10 torr) (R = 0.082 atm lit/mol/K)

    A
    `0.1` Amp
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    `1.25` Amp
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    `2.23` Amp
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