Civil Engineering > GATE 2024 SET-1 > Differential Equations
A 2 m x 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/m3 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:
dm⁄dt + 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).
dm⁄dt + 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).
Correct : 8.30
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