Heat capacity ratio (also known as adiabatic index) is the ratio between heat capacity at constant pressure to the heat capacity at constant volume.
For determining heat capacity ratio of a given gas sound velocity method is better than adiabatic expansion method because in adiabatic expansion method the apparatuses used are approximately adiabatic (not 100% adiabatic) which , the glass cylinder used gets heated up due to the movement of the piston which causes error in result. Also the method of calculation is more complex in adiabatic expansion method than the sout velocity method
Why is the sound velocity method better than the adiabatic expansion method when determing the heat...
Why do heat capacities play a role in the expressions for adiabatic expansion?
Item 10 In this problem you are to consider an adiabatic expansion of an ideal diatomic gas, which means that the gas expands with no addition or subtraction of heat. Part A Assume that the gas is initially at pressure Po, volume V. and temperature To. In addition, assume that the temperature of the gas is such that you can neglect vibrational degrees of freedom. Thus, the ratio of heat capacities is y=Cp/Cy = 7/5. Find an analytic expression for...
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature Ti, a constant volume cooling to temperature T2, and adiabatic compression back to the initial state. (a) Sketch the P-V diagram (b) If 1 mole of a van der Waals gas is used the working material, the efficiency of this engine is defined to be E = Suppose that the heat capacity of gas is independent of temperature. Show that the efficiency of the...
4. [After Reif Problem 5.1] When an ideal gas undergoes an adiabatic (thermally insu- lated) quasi-static expansion, its pressure and volume are related by p = constant. where γ = cp/cv is the ratio of heat capacities. If the gas expands from an initial volume Vi at temperature T to a final volume V2, calculate the final temperature T2 in terms of γ, Vi, Ti, and ½.
One mole of an ideal gas undergoes a reversible adiabatic expansion from T_1, to T_2 while tripling the volume of the gas. What is the relation between T_1 and T-2? T-2/3 < T_1<T_2 T_2/3 < T_1 < T-2 T_1= T_2 T_2<T_1 T_1 lessthanorequalto T_2/3 One mole of Ar gas undergoes the reversible transformation shown. Assuming Ar behaves ideally, which statement is true for step 2? Delta U= C_p DeltaT DeltaH < Delta U Delat S= c_p ln(T_c/T_B) W = etaRt...
Why is the discounted cash flow method for capital budgeting decisions considered better than other methods? Can the payback method be helpful when choosing among investment alternatives? If so, explain how
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The value of the heat capacity for a substance depends on
whether it’s measured under constant pressure conditions or
constant volume conditions. The constant-pressure molar heat
capacity is given by
= (dq/dT)P
and the constant-volume heat capacity is given by
= (dq/dT)V
Note that we use d instead of
because q is not a state function of temperature, volume, and
pressure; its value depends on how we execute the process.
Here are several questions regarding heat capacity.
a. When we...
Please solve no.6, 8 & no.1, 4 in chapter2.
For an ideal gas PV MRZ where n is the number of moles. Show that the heat transferred in an infinitesimal quasistatic process of an ideal gas can be written as n R 8.) An explosive liquid at temperature 300 K contains a spherical bubble of radius 5 mm, full of its vapour. When a mechanical shock to the liquid causes adiabatic compression of the bubble, what radius of the bubble...