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# Energy and work done by a gas system

An insulated cylinder closed at one end by a frictionless piston contains 20g of hydrogen gas at 30 degrees Celsius. This is heated to 40 degrees Celsius with the pressure kept constant at 1 bar and the volume increases by 7*10^-4 m^3. (The specific heat of H2 at constant pressure is 1.4*10^4 JKg^-1 K^-1).

a) What is the work done by the gas?

b) What is the change in internal energy of the system?

#### Solution Preview

Work done by a system is defined as:

And the total work of a system starting at volume Vi and ends up with volume Vf is:

In most cases, the pressure and volume are interlinked (the pressure is a function of the volume). However, in this case the pressure is constant (isobaric process).

Thus, in the integral expression for work the pressure can be taken outside of the ...

#### Solution Summary

Energy and work done by a gas system is analyzed. A frictionless piston contains 20 g of hydrogen gas at a specific temperature. The energy of the gas as well as the change in internal energy of the system is calculated.

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