Home
Class 11
PHYSICS
A sample of ideal gas is expanded to twi...

A sample of ideal gas is expanded to twice its original volume of `1.00m^3` in a quasi-static process for which `p=alphaV^2`, with `alpha=5.00 atm//m^6`, as shown in Fig. How much work is done by the expanding gas?

Text Solution

Verified by Experts

The correct Answer is:
A
`W=int_(V_i)^(V_f)pdV=int_1^2(alphaV^2)dV`
`=int_1^2(5xx1.01xx10^5)V^2dV`
Solving we get,
`W=1.18xx10^6J`
`=1.18MJ`
Promotional Banner

Topper's Solved these Questions

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Exercise 21.4|8 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Level 1 Assertion And Reason|10 Videos

  • LAWS OF THERMODYNAMICS

    DC PANDEY|Exercise Exercise 21.2|7 Videos

  • LAWS OF MOTION

    DC PANDEY|Exercise Medical entrances gallery|39 Videos

  • MAGNETIC EFFECT OF CURRENT AND MAGNETISM

    DC PANDEY|Exercise Integer type Questions|10 Videos

Similar Questions

Explore conceptually related problems

A sample of ideal gas is expanded to twice of its original volume of 1m^(3) in a quasi-static process for which P=alpha v^(2),alpha=3*10^(5)Pa/m^(6)as shown in fig. Work done by expanding gas is

A sample of an ideal gas is expanded to twice its original volume of 1m^(3) in a reversible process for which P = alphaV^(2) , where alpha = 5 atm m^(-6) . If C_(V,m) = 20 J mol^(-1)K^(-1) , determine moalr change in entropy (DeltaS_(m)) for the process.

An ideal gas is taken through a quasi-static process described by P = alphaV^(2) , with alpha = 5.00 atm//m^(6) . The gas is expanded to twice its original volume of 1.00 m^(3) . How much work is done by the gas in expanding gas in this process?

A sample of an ideal gas is expanded 1 m^(3) to 3 m^(3) in a reversible process for which P=KV^(2) , with K=6 "bar"//m^(6). What is work done by the gas (in kJ) ?

1 g H_(2) gas expand at STP to occupy double of its original volume. The wok done during the process is

Two litres of an ideal gas at a pressure of 10 atm expands isothermally at 25^(@)C into a vacuum until its total volume is 10 litres. How much heat is absorbed and how much work is done in the expansion ?

Three moles of an ideal gas are expanded isothermally and reversibly at 27^(@)C to twice its original volume. Calculate q, w, and DeltaU .

5 mole of an ideal gas of volume is expanded against vaccum to make its volume 2 times, then work done by the gas is: