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The variation of pressure with volume of...

The variation of pressure with volume of the gas at different temperatures can be graphically represented as shown in figure. On the basis of this graph answer the following question.
(i) How will the volume of a gas change if its pressure is increased at constant temperature ?
(ii) At a constant pressure, how will the volume of a gas change if the temperature is increased from 200 K to 400 K ?

Text Solution

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(i) In accordance to Boyle's law, pressure of a gas is inversly proportional to its volume if temperature is kept constant. Thus, the volume of a gas will decrease if the pressure on the gas is increased keeping the temperature constant. e.g., at 200 K when pressure increases from `p_(1)` to `p_(2)`, volume of the gas decreases, `V_(2) lt V_(1)`
(ii) In according to lharles law, volume of a gas is directly proportional to its temperature if pressure is kept constant.
Thus, on increasing temperature, the volume of a gas will increase if pressure is kept constant.
At constant p when we increase the temperature from 200 K to 400 K, the volum of the gas increases, `V_(4) gt V_(3)`.
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The variation of pressure with volume of the gas at different temperatures can be graphically represented as shown in figure. On the basis of this graph answer the following questions. How will the volume of a gas change if its pressure is increased at constant temperature?

The variation of pressure with volume of the gas at different temperatures can be graphically represented as shown in figure. On the basis of this graph answer the following questions. At a constant pressure, how will the volume of a gas change if the temperature is increased from 200 K to 400 K?

Knowledge Check

  • What is the effect on the pressure of a gas if its temperature is increased at constant volume ?

    A
    The pressure of the gas increases.
    B
    The pressure of the gas decreases .
    C
    The pressure of the gas remains same .
    D
    The pressure of the gas remains same .
  • At NTP the volume of a gas is 40 mL . If pressure is increased to 800 mm of Hg at the same temperature what will be the volume of the gas ?

    A
    38 mL
    B
    22400 mL
    C
    240 mL
    D
    431 mL
  • The pressure of a gas is increased by 50% at constant temperature. The decrease in volume will be nearest to

    A
    `66%`
    B
    `33%`
    C
    `17%`
    D
    `8%`
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