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Mechanical work is defined as force times distance, F X D = W
In a system with a gas the pressure of the gas exerts some force per unit area. If the gas changes in volume then that force has acted over some distance. For small changes in volume dW = P * dV where dV is some infinitesimally small change in volume and dW is the infinitesimall small amount of work done on or by the system. To calculate work you can then integrate P*dV from the starting volume to the ending volume. Note that if P is a function of V, such as the ideal gas case where P = NRT/V then the integral becomes more complex, W = Integral(NRT/V * dV). This works out to W = NRT * ln(V2/V1) assuming positive work is work done on the system. In the case of gas expanding against atmospheric pressure P is constant so W = P * (V2-V1) again assuming positive work is work done on the system. If gas expands against a vacuum then the P being pushed against is zero so no work is done.
You can show that the units work out by analyzing the units involved:
P = Force / Area = Force / Distance ^2
V = Distance ^3
P*dV = Force / Distance ^2 * Distance ^3 = Force * Distance = Work
What else can I help you with?
What is the formula for calculating the work done by an ideal gas in a thermodynamic process?
The formula for calculating the work done by an ideal gas in a thermodynamic process is: Work -PV where: Work is the work done by the gas, P is the pressure of the gas, and V is the change in volume of the gas.
How much work, denoted as w, is done by the gas in this process?
The work done by the gas in a process is denoted as w.
What is the relationship between the work done and the expansion of gas in a thermodynamic system?
The work done in a thermodynamic system is directly related to the expansion of gas. When gas expands in a system, it can perform work by pushing against a piston or moving a turbine. This work done is a result of the gas expanding and exerting a force on its surroundings.
What is the formula to calculate the work done by a gas in a thermodynamic process?
The formula to calculate the work done by a gas in a thermodynamic process is: Work Pressure x Change in Volume
What is the relationship between the work done by an expanding gas and the change in its internal energy?
The work done by an expanding gas is directly related to the change in its internal energy. When a gas expands, it does work on its surroundings, which can lead to a change in its internal energy. This change in internal energy is a result of the work done by the gas during the expansion process.
What is the formula for calculating the work done by an ideal gas in a thermodynamic process?
The formula for calculating the work done by an ideal gas in a thermodynamic process is: Work -PV where: Work is the work done by the gas, P is the pressure of the gas, and V is the change in volume of the gas.
How much work, denoted as w, is done by the gas in this process?
The work done by the gas in a process is denoted as w.
What is the relationship between the work done and the expansion of gas in a thermodynamic system?
The work done in a thermodynamic system is directly related to the expansion of gas. When gas expands in a system, it can perform work by pushing against a piston or moving a turbine. This work done is a result of the gas expanding and exerting a force on its surroundings.
What is the formula to calculate the work done by a gas in a thermodynamic process?
The formula to calculate the work done by a gas in a thermodynamic process is: Work Pressure x Change in Volume
What is the relationship between the work done by an expanding gas and the change in its internal energy?
The work done by an expanding gas is directly related to the change in its internal energy. When a gas expands, it does work on its surroundings, which can lead to a change in its internal energy. This change in internal energy is a result of the work done by the gas during the expansion process.
When an ideal gas expands in vacuum work done is?
When an ideal gas expands in a vacuum, no work is done because there is no external pressure against which the gas can expand. In this case, the expansion is considered to be isentropic, meaning that there is no change in entropy of the system.
How much work is done by the gas during this expansion?
The work done by the gas during the expansion is equal to the area under the pressure-volume curve on a graph of the process.
How does work play a role in an adiabatic expansion process?
In an adiabatic expansion process, work is done by the gas as it expands without gaining or losing heat from its surroundings. This work is done against the external pressure, causing the gas to decrease in temperature and increase in volume. The work done in this process is equal to the change in internal energy of the gas.
What is the formula to find the work done by the gas in a thermodynamic process?
The formula to find the work done by a gas in a thermodynamic process is W PV, where W represents work, P is the pressure, and V is the change in volume.
Is work done if you push a car that has run out of gas?
Yes. The work is being done by whoever is pushing rather then the engine, but work is being done. Any time a force is applied through a distance, work is being done.
Work done is not a state function?
In mechanics,work done(work=force.displacement of body) by a body is independent of path.It only depends on the initial and final state of the body.However in thermodynamics,the work done by an ideal gas(work=pressure.change in volume of gas) depends on the path taken(isochoric,isothermal,isobaric,adiabatic)
What kind of mechanical work done at the gas station?
General repairs.
