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A gas in a cylinder is held at a constan...

A gas in a cylinder is held at a constant pressure of `1.7xx10^5 Pa` and is cooled and compressed from `1.20m^3` to `0.8m^3`. The internal energy of the gas decreases by `1.1xx10^5J`.
(a) Find the work done by the gas.
(b) Find the magnitude of the heat flow into or out of the gas and state the direction of heat flow.
(c) Does it matter whether or not the gas is ideal?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D

(a) Work done by gas under constant pressure is
`W=p(V_f+V_i)`
`=(1.7xx10^5)(0.8-1.2)`
`=-6.8xx10^4J`
(b) `Q=W+DeltaU`
`=-6.8xx10^4-1.1xx10^5`
or `|Q|=1.78xx10^5J`
As Q is negative. So, net heat flow is out of the gas.
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Knowledge Check

  • A gas at constant pressure of 4.5xx10^(5)Pa to a gas it is compressed from 10 m^(3) to 3.0m^3 on givinig a heat of 800 kJ. The change in internal energy is

    A
    `5.25xx10^(5)J`
    B
    `6.75xx10^(5)J`
    C
    `1.25xx10^(5)J`
    D
    `3.25xx10^(5)J`
  • A gas under constant pressure of 4.5 xx 10^(5) Pa when subjected to 800 kJ of heat, changes the volume from 0.5 m^(3) to 2.0 m^(3) . The change in internal energy of the gas is

    A
    `6.75 xx 10^(5) J`
    B
    `5.25 xx 10^(5) J`
    C
    `3.25 xx 10^(5) j`
    D
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    A
    `6.75 xx 10^(5) J`
    B
    `5.25 xx 10^(5) J`
    C
    `3.25 xx 10^(5) J`
    D
    `1.25 xx 10^(5) J`
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