Home
Class 12
CHEMISTRY
The work done when two mole of an ideal ...

The work done when two mole of an ideal gas is compressed form a volume of `5 m^(3)` to `1 dm^(3)` at 300 K , under a pressure of 100 kPa is

A

`499.9` kJ

B

`-499.9 `kJ

C

`-99.5` kJ

D

`42495`kJ

Text Solution

Verified by Experts

The correct Answer is:
A
Work done , W = `- P_(ext") (V_(2) - V_(1))`
Here , `P_("ext") = 100 k Pa`
`V_(1) = 5 m^(3) = 5 xx 10^(3) L implies V_(2) = 1 dm^(3) = 1 L`
`therefore W = -100 xx (1 - 500)`
` = - 499900 k PaL`
`= - 499900 J = - 499.9 kJ ( because 1 k Pa L = 1 J)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MHTCET 2012

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise CHEMISTRY|50 Videos

  • MHTCET 2015

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Chemistry|100 Videos

Similar Questions

Explore conceptually related problems

Calculate the work done during compression of 2 mol of an ideal gas from a volume of 1m^(3) to 10 dm^(3) 300 K against a pressure of 100 KPa .

The work done in joules when two moles of an ideal gas are compressed at 300 K from 1 dm^3 to 100 cm^3 against a constant pressure of 3.2 xx 10^5 Nm^-2 is _________ .

Knowledge Check

  • The work done when two moles of an ideal gas is compressed from a volume of 5m^(3) to 1dm^(3) at 300 K, under a pressure of 100 kPa is

    A
    `499.9 kJ`
    B
    `-499.9kJ`
    C
    `-99.5kJ`
    D
    `42495kJ`

  • What is the amount of work done when two moles of an ideal gas is comoressed from a volume of 1 m^(3) to 10 dm^(3) at 300 K against a pressure of 100 kPa?

    A
    99 kJ
    B
    `-99` kJ
    C
    `114.9` kJ
    D
    `-114.9` kJ

  • What is the amount of work done when two moles of ideals gas is compressed from a volume of 1m^(3) to 10 dm^(3) at 300 k against a pressure of 100 kPa?

    A
    99 kJ
    B
    `-99 kJ`
    C
    114.9 kJ
    D
    `-114.9 kJ`

    • Similar Questions

    Explore conceptually related problems

    Two moles of an ideal gas are allowed to expand from a volume of 10 dm^(3) to 2m^(3) at 300 K against a pressure of 101.325 kPa. Calculate the work done.

    The work done in joules when two moles of an ideal gas are compressed at 300 K from 1 dm^3 "to " 100 cm^3 against a constant pressure of 3.2 xx 10^5 Nm^2 is

    Two moles of n ideal gas are allowed to expand from a volume of 10dm^(3) to m^(3) at 300 K against a pressure of 101.325 kPa. Calculate the work done

    Two moles of an ideal gas are allowed to expand from a volume of 10 dm^3 to 2 m^3 at 300 K against a pressure of 101.325 kPa. Calcualte the work done.

    The work done when 5 moles of an ideal gas expands isothermally from 45 m^3 " to " 55 m^3 against a constant pressure of 100 pascal in J/mol is

    Home
    Profile