xample inquiry and calculation:
You unwavering to compel hot instil for your jewel flavored tea imbibe. The instil, forthcoming paroxysm, was at environing 98 ˚C when you poured it balance the tea bags. You now entertain 100 mL hot tea at 98 ˚C and deficiency to enervate the tea and convey it to extent air at environing 25 ˚C. To compel the tea to the amend air, you conciliate add a concern of indifferent instil at a air of 5 ˚C. How plenteous indifferent instil should you add to the hot tea instil? (Hint: the dullness of tea and instil is 1 g/mL and the particular excitement of tea and instil is 4.184 J/g∙˚C).
First transmute the quantity to heap using dullness:
Next, use the forthcoming equation: q=m×C×ΔTq=m×C×∆T. This drift requires an endothermic and an exothermic reaction; accordingly the equation is modified: q=−qq=−q. The indifferent instil absorbs excitement and is the endothermic reaction; accordingly, the indifferent instil concern is the qq. The tea air nature brought down is releasing excitement and accordingly is the −q−q verge of the equation. Now we can supply the m×C×ΔTm×C×∆T for each qq, making indisputable to celebrate the signs of each qq.
Convert the grams into mL after a while the dullness: 365g×1mL1g=365m
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