Q:

Hussein finds a substance heats up at the rate of 1.8°C per second and another at twice the rate. How long does the second substance take to reach to boiling point of water if it starts at 0°C​

Accepted Solution

A:
Answer:28 secondsStep-by-step explanation:Find when second substance reaches boiling point of water.1. What is the boiling point of water?100°. This is common knowledge, just memorize.2. How fast does the second substance heat up?"twice the rate of 1.8°C per second"2 X 1.8°C per second= 2 X 1.8°C/s= 3.6°C/s3. How long until the second substance will reach boiling point?Model the situation with an equation in slope-intercept format (y=mx+b):y = 3.6x + 0m represents the slope or rate of increase, rate of heating upb represents the y-intercept or initial value, starting temperatureSince the starting temperature is 0, we don't need to include it.y = 3.6xy represents the temperature and x represents time in seconds.The temperature we want to find is 100. Substitute y for 100.y = 3.6x100 = 3.6xTo find the time in seconds, isolate x.100 = 3.6x100/3.6 = xx = 28     (The number is rounded up from 2.77777)Therefore, it takes 28 seconds for the second substance to reach the boiling point of water.