The question is:
The freezing point of helium is -272 degrees celsius. The original temperature of a sample of helium is 3 degrees celsius.
a.How much must the temperature change to ensure that helium freezes?
-AND-
b.Assume the temperature changed at a stedy rate for 25 minutes. Using your answer for part A for how much the temp. must change to freeze the helium, write and solve an inequality to dtermine HOW MUCH THE TEMPERATURE MUST CHANGE EACH MINUTE.
A) -272 +3
b) im not sure about it but i think you should use 3/25!
a. To ensure that helium freezes, the temperature must decrease to reach the freezing point of -272 degrees Celsius. In this case, the original temperature of the helium is 3 degrees Celsius.
Temperature change = Freezing point - Original temperature
Temperature change = -272°C - 3°C
Therefore, the temperature must change by -275 degrees Celsius to ensure that helium freezes.
b. To determine how much the temperature must change each minute, we can divide the total temperature change by the time taken. In this case, the time taken is 25 minutes.
Let x represent the temperature change per minute.
Total temperature change = x * time taken
-275°C = x * 25 minutes
To solve this inequality for x, we divide both sides by 25:
-275/25 = x
Therefore, the temperature must change by -11 degrees Celsius per minute to ensure that helium freezes.
To answer these questions, we need to understand the concept of temperature change and freezing point.
a. To ensure that helium freezes, we need to know the difference between its original temperature and its freezing point. Given that the original temperature of the helium sample is 3 degrees Celsius, and the freezing point of helium is -272 degrees Celsius, we can calculate the temperature change required as follows:
Temperature change = Freezing point - Original temperature
Temperature change = -272 Celsius - 3 Celsius
Temperature change = -275 Celsius
So, the temperature must change by -275 degrees Celsius in order for helium to freeze.
b. To determine how much the temperature must change each minute, we can divide the total temperature change by the duration in minutes. In this case, the temperature change required is -275 degrees Celsius, and the duration is 25 minutes.
Let X represent the temperature change per minute. Hence, the inequality can be written as:
X * 25 ≥ -275
Simplifying the inequality:
25X ≥ -275
To solve for X, we divide both sides of the inequality by 25:
X ≥ -275 / 25
X ≥ -11
Therefore, the temperature must change by at least -11 degrees Celsius per minute in order to ensure that helium freezes within 25 minutes.