Question

Во сколько раз увеличится объем воздушного шара, если его внести с улицы в теплое помещение? Температура на улице -3 градусов цельсия, в помещении 27 градусов

Answer 1

T2=300 К    T1=270 К     V2/V1- ?
давление в шарике равно примерно атмосферному и оно не изменится
V1/T1 =V2/T2
V2/V1=T2/T1=300/270=1,11
Ответ объем увеличится в 1,11 раза

Answer 2

Calculation of the Volume Increase of an Air Balloon

To calculate the increase in volume of an air balloon when it is brought from the outside into a warm room, we can use the ideal gas law. The ideal gas law states that the pressure, volume, and temperature of a gas are related by the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.

To simplify the calculation, we can assume that the pressure remains constant. This assumption is valid as long as the balloon is not subjected to extreme changes in pressure.

Let's calculate the volume increase of the air balloon using the given temperatures.

Given: - Temperature outside: -3 degrees Celsius - Temperature inside: 27 degrees Celsius

To convert the temperatures to Kelvin, we add 273.15 to each value: - Temperature outside in Kelvin: -3 + 273.15 = 270.15 K - Temperature inside in Kelvin: 27 + 273.15 = 300.15 K

Now, we can calculate the ratio of the volumes using the ideal gas law equation:

V1 / V2 = (T1 / T2)

Where: - V1 is the initial volume of the balloon (outside) - V2 is the final volume of the balloon (inside) - T1 is the initial temperature in Kelvin (outside) - T2 is the final temperature in Kelvin (inside)

Substituting the values: V1 / V2 = (270.15 K / 300.15 K)

Now, we can solve for V2 by rearranging the equation:

V2 = V1 * (T2 / T1)

Let's calculate the volume increase using this formula.

Calculation:

Assuming the initial volume of the balloon is 1 unit (for simplicity), we can calculate the final volume using the formula:

V2 = 1 * (300.15 K / 270.15 K)

V2 ≈ 1.111

Therefore, the volume of the air balloon will increase by approximately 1.111 times when it is brought from the outside (-3 degrees Celsius) into a warm room (27 degrees Celsius).

Please note that this calculation assumes that the balloon is flexible and can expand freely without any constraints.