Home
Class 11
CHEMISTRY
A 5L cylinder contained 10 moles of oxyg...

A `5L` cylinder contained `10` moles of oxygen gas at `27^(@)C`. Due to sudden leakage through the hole, all the gas escaped into the atmosphere and the cylinder got empty. If the atmospheric pressure is `1.0atm`, calculate the work done by the gas.

Text Solution

Verified by Experts

`V_("initial") = 5L, T = 27^(@)C = 27 + 273 K = 300 K`
`V _("final") = (nRT)/(P) = (10 xx 0.0821 xx 300)/( 1.0) = 246.3L`
`Delta V = V_("final") - V_("initial") = 246.3 -5= 241.3 L`
`W _(exp) = - PDeltaV = - 1 xx 241.3 L atm= - 241.3 xx 101 . 3 J = - 24443.7 J`
Promotional Banner

Topper's Solved these Questions

  • THERMODYNAMICS

    PRADEEP|Exercise Problem 7|1 Videos

  • THERMODYNAMICS

    PRADEEP|Exercise Problem 8|1 Videos

  • THERMODYNAMICS

    PRADEEP|Exercise Problem 5|1 Videos

  • STRUCTURE OF ATOM

    PRADEEP|Exercise Competition Focus (JEE (Main and Advanced)/Medical Entrance (IX. Assertion And Reason Type Questions (Type II))|12 Videos

Similar Questions

Explore conceptually related problems

A 5 litre cylinder contained 10 moles of oxygen gas at 27^(@)C . Due to sudden leakage through the hole, all the gas escaped into the atmosphere and the cylinder got empty. If the atmosphere pressure is 1.0 atm. Calculate the work done by the gas. Assuming gas to be ideal.

A 6 litre cylinder contained 280 g of N_(2) gas at 27^(@) C. Due to sudden leakage through the hole, all the gas escaped into atmosphere and the cylinder became empty.If the atmospheric pressure is 1.0 atmosphere, calculate the work done by the gas.

A gas expands from 1 litre to 3 litres at atmospheric pressure. The work done by the gas is about

A cylinder of 20.0 L capacity contains 160 g oxygen gas at 25^(@)C . What mass of oxygen must be released to reduce the pressure of the cylinder to 1.2 atm ?

One mole of an ideal gas is heated from 273K to 546K at constant pressure of 1 atmosphere. Calculate the work done by the gas in the process.

A gas expands by 0.5L against a constant pressure of 1 atm . Calculate the work done in joule and calorie.

A cylinder contains 12 litres of oxygen at 20^(@)C and 15 atm pressure. The temperature of the gas is raised to 35^(@)C and its volume increased to 17 litres. What is the final pressure of gas (in atm)?

A sample of a gas in a cylinder expands 20.51 against 0.6 atm pressure. The work done by the gas is :

Knowledge Check

  • A cylinder contains 12 litres of oxygen at 20^(@)C and 15 atm pressure. The temperature of the gas is raised to 35^(@)C and its volume increased to 17 litres. What is the final pressure of gas (in atm)?

    A
    9
    B
    11
    C
    15
    D
    17

  • A sample of a gas in a cylinder expands 20.51 against 0.6 atm pressure. The work done by the gas is :

    A
    `12.3 J`
    B
    `1246 J`
    C
    `-12.3 J`
    D
    `-1246 J`

  • A gas expands in volume from 2L to 5L against a pressure of 1 atm at constant temperature. The work done by the gas will be

    A
    3 J
    B
    `-303.9` J
    C
    `-303.9L*` atm
    D
    `303.9 L*`atm