Under certain condition, the rate of formation of glucose is k times the remaining mass of...

 

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Under certain condition, the rate of formation of glucose is k times the remaining mass of sucrose. At any time t after the start of the reaction, the mass of glucose is x grams and the dx dt rate of increase of x is given by = k(M - x). (a) Given that when t = 0, x = 0, solve the given differential equation. (b) When the amount of sucrose is M, show that t=- In 513 [5 marks] [3 marks] Under certain condition, the rate of formation of glucose is k times the remaining mass of sucrose. At any time t after the start of the reaction, the mass of glucose is x grams and the dx dt rate of increase of x is given by = k(M - x). (a) Given that when t = 0, x = 0, solve the given differential equation. (b) When the amount of sucrose is M, show that t=- In 513 [5 marks] [3 marks]