A and B are the slopes of the isothermal and adiabatic curves respectively. We can see from the graph, that the slope of adiabatic is higher than that of the isothermal process.
What is the ratio of slopes of PV graph of adiabatic and isothermal process?
Thus, we obtained that the ratio of the slopes of adiabatic and isothermal curves is equal to $ gamma $ and the correct answer is option (A). We can observe from this solution that the slope of the adiabatic curve is $ gamma $ times more than that of an isothermal process.
Which slope is steeper adiabatic or isothermal?
The adiabatic curve is steeper than the isothermal curve , in both the processes of expansion and compression. To reach a same height in a longer distance means lower slope of the line. Hence adiabatic curve is more steeper than isothermal curve.
Why is the PV curve for adiabatic process?
On a p-V diagram, the process occurs along a line (called an adiabat) that has the equation p = constant / V κ . For an ideal gas and a polytropic process, the case n = κ corresponds to an adiabatic process.
What are isothermal and adiabatic curves?
The curve showing the relation between pressure and volume of a given mass of gas when the temperature is constant is called its isothermal curve. It is represented by the equation. pv = constant .
What is the slope of adiabatic process?
C) Adiabatic curve slope = γ×isothermal slope .
What is the ratio of slope of P-V graph?
Answer: The slope of P-V graph is dP/dV For an isothermal process, (PV = constant) So dP/dV = P/V → (1) For an adiabatic process ( PVY = constant) dP/dV = YP/V → (2) Divide 2) by 1) So, the ratio of adiabatic slope to isothermal slope is Y.
Can two isothermal curves cut each other?
Yes , when the pressure is critical pressure.
What is the formula of adiabatic process?
For such an adiabatic process, the modulus of elasticity (Young’s modulus) can be expressed as E = γP , where γ is the ratio of specific heats at constant pressure and at constant volume (γ = C p C v ) and P is the pressure of the gas.
What is difference between isothermal and adiabatic?
Ans: An isothermal process is a thermodynamic process in which there is no change in the temperature of the system. ... While an adiabatic process is the one in which there is no transfer of heat or mass in-between the system and the surrounding throughout the thermodynamic process. Hence, in an adiabatic system ΔQ = 0 .
What is PV and TS diagram?
Pressure-volume (P-V) and temperature-entropy (T-S) diagrams are often used as teaching. aids to describe refrigeration processes in introductory textbooks. They trace the path of a. hypothetical element of gas as it moves through a system during a complete thermodynamic. cycle.
What is ∆ U in adiabatic process?
According to the definition of an adiabatic process, ΔU=wad. Therefore, ΔU = -96.7 J. Calculate the final temperature, the work done, and the change in internal energy when 0.0400 moles of CO at 25.0 o C undergoes a reversible adiabatic expansion from 200. L to 800.
What is adiabatic process example?
One of the good applications of the adiabatic process. The pendulum oscillating in a vertical plane is an example of it. A quantum harmonic oscillator is also an example of an adiabatic system. When we put the ice into the icebox, no heat goes out and no heat comes in.
Does isothermal mean adiabatic?
isothermal is the process where WORK is done between the same temperature difference,whereas in adiabatic the work is done where there is NO heat or temperature difference is there .
How do you identify an isothermal process?
For an adiabatic process, in which no heat flows into or out of the gas because its container is well insulated, Q = 0. If there is also no work done, i.e. a free expansion, there is no change in internal energy. For an ideal gas , this means that the process is also isothermal.
