GATE CE · 2024 · ce-1
Question 48: Ordinary Differential Equation (ODE)
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Question 48
ce-1NAT2 marksNeeds review
A
tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At
, an inflow of a salt solution of concentration 5 g/m
at the rate of 2 litres/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modeled using the following differential equation:
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).Log in to check the answer
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2024ce-1
GATE CE 2024 · Paper 1
Civil Engineering · Original paper archive
- Section
- Section ce-1
- Question type
- Numerical answer (NAT)
- Marks
- 2 marks
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