A 2 m × 2 m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At $ t = 0 $, an inflow of a salt solution of concentration 5 g/ $ m^3 $ at the rate of 2 litre/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modelled using the following differential equation:
$$ \frac{dm}{dt} + \frac{m}{6000 + t} = 0.01 $$
where $ m $ is the mass (grams) of the salt at time $ t $ (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is ______________ (rounded off to 2 decimal places).
The beam shown in the figure is subjected to a uniformly distributed downward load of intensity $q$ between supports A and B.
Considering the upward reactions as positive, the support reactions are
The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques.
| Component of MSW | Treatment/separation technique |
|---|---|
| P - Ferrous metals | i - Incineration |
| Q - Aluminum and copper | ii - Rapid composting |
| R - Food waste | iii - Eddy current separator |
| S - Cardboard | iv - Magnetic separator |
The CORRECT match is
The primary air pollutant(s) is/are