Recent content by worryingchem

So I get ## P_2(RT_2/P_2)^\gamma = constant ## and solve for ## T_2 ##. Thank you for clearing this up for me.

If I treat the parcel of gas as a closed system, will the energy balance be like the following? ## dU = -PdV ## ## C_v \Delta T = -\int_{P_1}^{P_2} PdV ## From here, will I plug in ## PV^{\gamma} = constant ## to find ## T_2 ## ?

Homework Statement Methane at ## P_1 ## and ## T_1 ## is compressed to a pressure of ## P_2 ## adiabatically at steady-state. Calculate the work done on the compressor and the temperature ## T_2 ## of the discharge gas. Use ideal gas model. Given: ## T_1, P_1, P_2, C_p, \gamma = 1.4 ## ##...

Thank you, I forgot about the initial values used to approximate this.

My question is about whether it's possible to use the Euler Forward or 4th order Runge-Kutta Methods to approximate the following system ( where the differential of other equations are on the right hand side) : $$ \begin{cases} \frac{dy_1}{dt} = f_1(y_1,y_2,y'_2, ... , y_n, y'_n, t) \\...

Thank you everyone for the advises. I'll look over these topics and see what I can use as study materials. Also, my school does offer a Numerical Methods in ChemE course and a Numerical Analysis for Mathematical Computer Science course so I'll check these out.

Ah, yes, thank you BvU, the picture is indeed the solution manual when treating each process unit as its own system. But I wanted to treat all the process units as one system. I should still get the same answer for my DOF analysis. However, unless, I draw my whole system like the bottom diagram...

Hi, I'm currently studying to become a chemical engineer. After learning differential equation and linear algebra, I've realized how useful they are in my engineering courses since they make setting up equations and solving them so much easier. So I was wondering if there are other math that...

Hi, I was wondering what the major advantages and disadvantages of a pseudo inverse as compared to a regular inverse are. In class, we're usually told to the number of equations have to match the number of unknowns to find a solution. I thought that the reason for that was so we can make a...

Homework Statement The problem want me to do a degree of freedom analysis on the following process using the information provided. There are two chemical rx in the process. The desired production rate of DEA (D) is 105,000 kg/h. The air composition is 21% mol% O2 and 79 mol% N2[/SUB. 25% of...

Yes, I think what you said is what I wanted, if for every dimension, each ## b_{nk_n} ## is a pair of endpoints to the interval.

Thank you for answering my question. I wanted to know that if I solve the following system over an interval of b: ## \left[ \begin{array}{c} a \ b \\ c \ d \\ \end{array} \right] \left[ \begin{array}{c} x_1 \\ x_2 \ \end{array} \right] = \left[ \begin{array}{c} [b_{11}, b_{1n}] \\ [b_{21}...

Hi, I wanted to know if the endpoints of an nth dimension linear equation will be guaranteed to contain a min and max over that interval. For 1D ( like a line), if I find f(x) over an interval [x0, xn], I'm guaranteed that the two end points will be either an max or min. So I was wondering if...

Ah, I see. Then, ## C*N(A) = \left[ {\begin{array}{c} A*N(A)\\ B*N(A) \ \end{array} } \right]=\left[ {\begin{array}{c} 0 \\ n \ \end{array} } \right] ##. And ## C*N(B) = \left[ {\begin{array}{c} A*N(B)\\ B*N(B) \ \end{array} } \right]=\left[ {\begin{array}{c} n \\ 0 \ \end{array} } \right] ##. n...

K. Here it is.