MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Work Done in Isothermal Reversible Process

A piston-cyli...

Question

A piston-cylinder device initially contains $0.4 m^{3}$ of air (to be treated as an ideal gas) at 100 kPa and $80^{o} C$ . The air is now isothermally compressed to $0.1 m^{3}$ . The work done during this process is kJ.
(Take the sign convention such that work done on the system is negative)
-55.45

Open in App

Solution

The correct option is A -55.45
$V_{1} = 0.4 m^{3};$ $p_{1} = 100 k P a$
$T_{1} = 80^{o} C = (80 + 273) K = 353 K$
$V_{2} = 0.1 m^{3}$
For isothermal process

$W = p_{1} V_{1} l o g_{e} \frac{V_{2}}{V_{1}}$
$= 100 \times 0.4 l o g_{e} \frac{0.1}{0.4}$
$= - 55.45 k J$

Suggest Corrections

thumbs-up

10

Similar questions

Q. A piston-cylinder device initially contains

0.07 m^{3}

of nitrogen gas at

130 k P a

120^{o} C

. The nitrogen is now expanded polytropically to a state of

100 k P a

100^{o} C

. Determine the Boundary work of the process.

Q. A piston cylinder device contains

0.05 m^{3}

of gas initially at 180 kPa. At this state, a linear spring that has a spring constant of

150 k N / m

is just touching the piston but exerting no force on it. Now heat is transferred to the gas, causing the piston to rise and to compress the spring until the volume inside the cylinder doubles. If the cross-sectional area of the piston is

0.25 m^{2}

, Then the total work done

(i n k J)

by the gas will be

Q. A gas in a piston cylinder assembly undergoes an expansion process where

P V^{1.5} =

constant. The initial pressure is

3 b a r

, the initial volume is

0.1 m^{3}

and the final volume is

0.2 m^{3}

. Determine the work done for this process.

Q. A frictionless piston-cylinder device contains a gas initially at 0.8 MPa and 0.015

m^{3}

. It expands quasistatically at constant temperature to a final volume of 0.030

m^{3}

. The work output (in kJ) during this process will be

Q. An ideal gas system undergoes an isothermal process, then the work done during the process is:

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

First Law of Thermodynamics

CHEMISTRY

Watch in App

explore_more_icon

Explore more

Work Done in Isothermal Reversible Process

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon