Q23 After how long will the temperature be 100 degree F Roun

Q-23

After how long will the temperature be 100 degree F? (Round your answer to the nearest whole number.) This exercise uses Newton\'s Law of Cooling. A roasted turkey is taken from an oven when its temperature has reached 185 degree F and is placed on a table in a room where the temperature is 78 degree F. If the temperature of the turkey is 145 degree F after half an hour, what is its temperature after 45 min? (Round your answer to the nearest whole number.) After how many hours will the turkey cool to 100 degree F? () The hydrogen ion concentration of a sample of each substance is given. Calculate the pH of the substance. (Round your answers to one decimal place.) oranges: [H^+] = 2.5 times 10^-4 M Tomato Juice: [H^+] = 3.2 times 10^-4 M

Solution

one point is (0, 185)

After 30 min

(30, 145)

slope = 185- 145 / 0-30

= - 40/ 30 = -4/3

equation

x(t) = -4/3 x + 185

t = 45

x(45) = -4/3 *45 + 185 = -60 + 185 = 125

temperature aftre 45 min is 125^o F

B) 100 = -4/3 T + 185

-4/3 T = -85

T = 85*3/4

T = 255/4 = 63.75 min