Orsat analysis of a stack gas on a dry basis is: \(\mathrm{N_2}=65%\), \(\mathrm{CO_2}=15%\), \(\mathrm{CO}=10%\), \(\mathrm{O_2}=10%\). The measured mole fraction of \(\mathrm{H_2O}\) in the stack gas (wet basis) is \(0.07\). The mole fraction of \(\mathrm{N_2}\) on a wet basis is ____________ (rounded off to two decimal places).
Show Hint
Convert from dry to wet basis by multiplying dry-basis fractions by \((1-y_{H_2O})\).
Orsat analysis is always reported on a dry basis (water removed before analysis).
Correct Answer: 0.59
Solution and Explanation
Hence the dry-gas fraction in the wet mixture is \(1-y_{H_2O}=0.93\). Step 2: The dry-basis mole fraction of \(\mathrm{N_2}\) is \(x_{N_2,\text{dry}}=0.65\).
Therefore the wet-basis mole fraction is \[ y_{N_2}=x_{N_2,\text{dry}}\,(1-y_{H_2O}) =0.65\times 0.93=0.6045\approx \boxed{0.60}. \]
Questions Asked in GATE CH exam
Is there any good show __________ television tonight? Select the most appropriate option to complete the above sentence.
- GATE CH - 2025
- GATE BT - 2025
- GATE GG - 2025
- English Grammar
Consider a process with transfer function: \[ G_p = \frac{2e^{-s}}{(5s + 1)^2} \] A first-order plus dead time (FOPDT) model is to be fitted to the unit step process reaction curve (PRC) by applying the maximum slope method. Let \( \tau_m \) and \( \theta_m \) denote the time constant and dead time, respectively, of the fitted FOPDT model. The value of \( \frac{\tau_m}{\theta_m} \) is __________ (rounded off to 2 decimal places).
Given: For \( G = \frac{1}{(\tau s + 1)^2} \), the unit step output response is: \[ y(t) = 1 - \left(1 + \frac{t}{\tau}\right)e^{-t/\tau} \] The first and second derivatives of \( y(t) \) are: \[ \frac{dy(t)}{dt} = \frac{t}{\tau^2} e^{-t/\tau} \] \[ \frac{d^2y(t)}{dt^2} = \frac{1}{\tau^2} \left(1 - \frac{t}{\tau}\right) e^{-t/\tau} \]- GATE CH - 2025
- Process Control
- Consider the differential equation \(\frac{dy}{dx} + \frac{y}{x} = 0\). Choose the CORRECT option(s) for the solution \(y\).
- GATE CH - 2025
- Differential Equations
- The number of independent intensive variables that need to be specified to determine the thermodynamic state of a ternary mixture at vapor-liquid-liquid equilibrium is:
- GATE CH - 2025
- Thermodynamics
- Rohit goes to a restaurant for lunch at about 1 PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coinciding. After about an hour, when he leaves the restaurant, he notices that the clock hands are again exactly coinciding. How much time (in minutes) did Rohit spend at the restaurant?