Question

Балон містить кисень при температурі 12 С і тиску 2,53 10 в 6 ступеня Па. При якій температурі виникне небезпека вибуху балона, якщо балон може витримати тиск не більше 3,04 10 в 6 ступеня Па?_________________________Баллон содержит кислород при температуре 12 С и давлении 2,53 10 в 6 степени Па. При какой температуре возникнет опасность взрыва баллона, если баллон может выдержать давление не более 3,04 10 в 6 степени Па?_______________________

Answer 1

Дано P2=3,04*10^6 Па   P1=2,53*10^6 Па   T1=285 К   T2-?
Так как объем постоянный то V1 =V2
P1/T1= P2/T2
T2 = P2*T1/P1=3,04*10^6*285/2,53*10^6=342,5 К - ответ

Answer 2

To determine the temperature at which there is a danger of the balloon exploding, we can use the ideal gas law equation, which states that the pressure of a gas is directly proportional to its temperature and volume, and inversely proportional to the number of moles of gas present.

The ideal gas law equation is given as:

PV = nRT

Where: - P is the pressure of the gas - V is the volume of the gas - n is the number of moles of gas - R is the ideal gas constant - T is the temperature of the gas

In this case, we are given the initial conditions of the balloon, which are: - Temperature (T1) = 12°C = 12 + 273.15 = 285.15 K - Pressure (P1) = 2.53 * 10^6 Pa

We are also given the maximum pressure the balloon can withstand (P2) = 3.04 * 10^6 Pa.

To find the temperature at which the danger of explosion occurs (T2), we can rearrange the ideal gas law equation as follows:

T2 = (P2 * V) / (n * R)

Since the volume and number of moles of gas are constant, we can simplify the equation to:

T2 = (P2 / P1) * T1

Substituting the given values into the equation, we get:

T2 = (3.04 * 10^6 Pa / 2.53 * 10^6 Pa) * 285.15 K

Calculating the value, we find:

T2 ≈ 344.8 K

Therefore, the temperature at which there is a danger of the balloon exploding is approximately 344.8 K.

Please note that this calculation assumes the ideal gas behavior and does not take into account any other factors that may affect the stability of the balloon.