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I have two main questions/problems: Most definitions I've seen about quasi-static processes talk about them being "infinitely slow processes", or "slow enough as for the system to remain infinitesima …

But is there such a thing for thermodynamics? Is there a formulation that allows for this kind of perspective? …

The problem is the following: given the equation $u(s,v)=\frac{A}{v^2}e^{s/R} $ that governs a system that undergoes an isoentropic process $(T_i,p_i) \rightarrow \ (T_f,p_f)$ such that $p_f=p_i/2$, c …

This is a common problem. The answer is that the Carnot cycle works for an ideal gas, and for an ideal gas it is always true that: $$\Delta U = c_v n \Delta T $$ Yes, even if the process is not happen …

Filtering longer wavelengths will not make the spectrum equivalent to one of a hotter object. You'll simply be cutting out the region where the colder object peaks and leaving the tails that have a fa …

Consider two ideal gases of differing heat capacities. They occupy separate compartments of the same total volume. Assume their initial temperatures and that the amount of substance for both are the s …

The thermodynamic definition of temperature is simply: $$T=\left(\frac{\partial{U}}{\partial{S}} \right)_{V,\ n}$$ As you see there is no absolute value involved. This implies that the partial derivat …

A thermodynamic property, let's call it $X$, might also have an equivalent state variable that can be used alongside other state variables to describe the equilibrium states of some system. However, t …

Let me explain a bit more what I mean. To derive the Boltzmann factor, one usually talks about the ratio of the probability that a system is at some specified energies $E_1$ and $E_2$. This is taken a …

Consider the Gibbs equation: $$du=Tds-pdv$$ Identifying partial derivatives, one obtains: $$-p=\left( \frac{\partial u}{\partial v} \right)_T$$ But you can also show that: $$p=T\left( \frac{\partial s …

What you called $S_1$ is really: $$S_1 = S_1 (U,V,n) + K_1 $$ Where $K_1$ is the additive constant. The variation would be: $$\Delta S = S_1(U_f,V_f,n_f)+K_1-S_1(U_i,V_i,n_i)-K_1=S_1(U_f,V_f,n_f)-S_1( …

I'm trying to solve a problem where I'm asked to determine the $T_f/T_i$ ratio of an isoentropic expansion for a system with a particular $u(v,s)$ function. I have found a correct solution but at the …

Imagine two systems, A and B, both containing the same ideal gas and connected through a small tube such that they can interchange particles. They start out at $p_i$ and $T_i=T_A$, which for system A …

Some total volume contains two compartments separated by a wall that allows for mechanical and thermal interaction, each compartment having a different amount of an ideal gas. For the initial conditio …

Consider an air parcel with relative humidity $H$ and vapor pressure $e$ that experiments an adiabatic lifting process. Obviously the saturating vapor pressure is going to change since said process is …