How many times will the pressure of the gas contained in a closed vessel increase if the temperature is doubled?
Given:
Gas;
increase in temperature by 2 times.
Find: change in gas pressure.
Decision:
In order to answer the question posed, you need to write down the formula. It looks like this: V = const. t2 = 2 * t1.
Since the pressure is denoted by the letter p, it means that the initial pressure will be denoted by p1, and the one that must be found by p2.
Using the above formula, we will compose the proportion.
p1 / t1 = p2 / t2.
Since we need to find p2, we will select it from the proportion.
p2 = (p1 * t2) / t1. Further, for convenience, we transform the right side of the resulting equation p2 = (p1 * 2 * t1) / t1 = 2 * p1.
This shows how p2 will change in relation to p1. The gas pressure will increase by 2 times, that is, a direct proportion occurs here.
Answer: will increase by 2 times