Question

Воздушный шар, наполненный газом при давлении 1,05*10^5 Па и температуре 70 градусов, поднялся в слой воздуха, где давление оказалось 0,66*10^5 Па, а температура -28 градусов. Во сколько раз изменился объем газа, наполняющего шар? Шар изготовлен из эластичной пленки.

Answer 1

p1V1/T1=p2V2/T2

V2/V1=p1T2/(P2T1)=1,05*10^5*(-28+273)/(0,66*10^5 Па*(70+273))=увеличится в 1,13 раза

Answer 2

Calculation of the Volume Change of the Gas in the Balloon

To determine the change in volume of the gas inside the balloon, we can use the ideal gas law, which states that the product of pressure (P) and volume (V) is directly proportional to the product of the number of moles (n) and the temperature (T) of the gas. Mathematically, this can be expressed 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 the gas - R is the ideal gas constant - T is the temperature of the gas

In this case, we are given the initial pressure (P1), initial temperature (T1), final pressure (P2), and final temperature (T2) of the gas inside the balloon. We can assume that the number of moles and the gas constant remain constant.

To find the change in volume (V2 - V1), we can rearrange the ideal gas law equation as follows:

(P1 * V1) / T1 = (P2 * V2) / T2

Simplifying the equation, we get:

V2 = (P2 * V1 * T2) / (P1 * T1)

Now, let's substitute the given values into the equation to calculate the change in volume.

Given: - Initial pressure (P1) = 1.05 * 10^5 Pa - Initial temperature (T1) = 70 degrees Celsius = 343 Kelvin - Final pressure (P2) = 0.66 * 10^5 Pa - Final temperature (T2) = -28 degrees Celsius = 245 Kelvin

Substituting these values into the equation, we have:

V2 = (0.66 * 10^5 * V1 * 245) / (1.05 * 10^5 * 343)

To find the change in volume, we need to determine the initial volume (V1) of the gas inside the balloon. Unfortunately, the initial volume is not provided in the given information. Therefore, without the initial volume, we cannot calculate the change in volume of the gas.

Please provide the initial volume (V1) of the gas inside the balloon so that we can proceed with the calculation.