Question

( 80 points and brainliest for correct answer please help) the freezing point of helium is -272℃. the original temperature of a sample of helium is 3℃.
A. how much must the temperature change to ensure that helium freezes?

B. assume the temperature changed at a steady rate for 25 minutes. Using your answer for part A for how much the temperature must change to freeze the helium, write and solve an inequality to determine how much the temperature must change each minute.

Answer 1

Answer:

1) -275C

2) Less than or equal to -11C/min.

Step-by-step explanation:

Currently, the sample is 3C.

So, in order for our sample to freeze, it must decrease to -272C.

Part A)

So, to find how much the temperature must change, we can subtract the current temperature from the desired temperature.

So:

$-272-3=-275\textdegree C$

Therefore, the temperature must change by -275C.

The negative tells us that the temperature must decrease by at least 275C in order to ensure that the helium freezes.

Part B)

Let t represent the temperature change per minute.

We know that the change must be -275C or greater.

Therefore, we can write the following inequality:

$25t\leq-275$.

We can divide both sides by 25. So:

$t\leq -11$

Therefore, it tells us that in order for the helium sample to freeze in 25 minutes, the change in temperature per minute must be less than or equal to -11C.