Question

3 moles of an ideal gas kept at a constant temperature of 300kelvin are compressed from a volume of 4litre to 1litre. calculate the work done in process. R= 8.31j/mloe kelvin​

Answer 1

Answer:

use formula w=2.303 nRt log v2/v1

Answer 2

The work done is -7.576 kJ.

Explanation:

Given that,

Temperature = 300 K

Final volume = 4L

Initial volume = 1L

Number of mole = 2

We need to calculate the pressure of gas

Using formula of ideal gas

$PV=nRT$

$P=\dfrac{nRT}{V}$

Put the value into the formula

$P=\dfrac{3\times0.0831\times300}{(4-1)}$

$P=24.93\ atm$

We need to calculate the work done

Using formula of work done

$W=-P\Delta V$

Put the value into the formula

$W=-24.93\times3$

$W=-74.79\times101.3$

$W=-7576.23\ J$

$W=-7.576\ kJ$

Hence, The work done is -7.576 kJ.

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Topic : work done

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