Lane Stanley

05/01/2023 · escuela secundaria

A liquid is being heated in an oven maintained at a constant temperature of \( 160^{\circ} \mathrm{C} \). It may be assumen that the rate of increase of the temperature of the liquid at any particular time \( t \) minutes is proportiona to \( 160-\theta \), where \( \theta^{\circ} \mathrm{C} \) is the temperature of the liquid at that time. (i) Write down a differential equation connecting \( \theta \) and \( t \). When the liquid was placed in the oven, its temperature was \( 20^{\circ} \mathrm{C} \) and 5 minutes later its temperature had risen to \( 65^{\circ} \mathrm{C} \). (ii) Find the temperature of the liquid, correct to the nearest degree, after another 5 minutes.