A mono atomic gas is supplied the heat Q very slowly keeping...

A mono atomic gas is supplied the heat Q very slowly keeping the pressure constant The work done by the gas.
(A) $(2 / 5) \mathrm{Q}$
(B) $(2 / 3) \mathrm{Q}$
(C) $(3 / 5) \mathrm{O}$
(D) $(1 / 5) \mathrm{O}$

Key Concepts

Ideal Gas Law

The ideal gas law (PV = nRT) relates pressure, volume, temperature, and the number of moles of a gas. It is instrumental in solving thermodynamic problems as it provides the necessary connection between temperature changes and volume changes during processes like isobaric expansions, thus enabling the calculation of work done by the gas.

First Law of Thermodynamics

This principle states that the change in a system's internal energy is equal to the heat added to the system minus the work done by the system. It is fundamental in analyzing processes where heat transfer and work occur concurrently, allowing one to determine unknown quantities when the others are known.

Heat Capacities

Heat capacities at constant pressure (C?) and constant volume (C?) are intrinsic properties of materials that describe how much heat is needed to raise the temperature of a substance by a given amount. For ideal gases, these values help partition the supplied heat into work done and change in internal energy, with the difference between C? and C? being equal to the gas constant.

Isobaric Process

An isobaric process is one where the pressure remains constant. In such processes, the work done by the gas can be directly calculated from the change in volume. The relationship between heat added, internal energy change, and work done is characterized by the constant pressure heat capacity, linking thermal energy input to mechanical expansion.

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