Question

Помогите!! 40 баллов!!!!В баллоне объемом 0,2 м3 находится гелий под давлением 100 кПа при температуре 17°С . После подкачки гелия давление повысилось на 200 кПа, а температура на 30 °С. На сколько изменилась масса гелия в баллоне?

Answer 1

Дано   V=0,2 м3        P1=100 кПа   T1=290 К    ΔP=200 кПа  T2=320 К
Δm- ?

P*V=m*R*T/M
m=P*V*M/R*T
Δm=m2-m1=V*M/R  * (P2/T2  -P1/T1)=0,2*4*10^-3/8.31    * (3*10^5/320 -1*10^5/290)=57 г

вычисления проверяем сами

Answer 2

Calculation of the Change in Helium Mass in the Cylinder

To calculate the change in helium mass in the cylinder, we need to consider the ideal gas law, which states that the pressure, volume, and temperature of an ideal gas are related by the equation:

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 Kelvin

To calculate the change in helium mass, we need to compare the initial and final states of the gas in the cylinder.

Initial State:

- Volume (V1) = 0.2 m^3 - Pressure (P1) = 100 kPa - Temperature (T1) = 17°C = 17 + 273.15 = 290.15 K

Final State:

- Volume (V2) = 0.2 m^3 - Pressure (P2) = 100 kPa + 200 kPa = 300 kPa - Temperature (T2) = 17°C + 30°C = 47°C = 47 + 273.15 = 320.15 K

Now, let's calculate the number of moles of helium in the initial and final states using the ideal gas law equation.

For the initial state: P1V1 = nRT1

For the final state: P2V2 = nRT2

Since the volume and the number of moles of helium remain constant, we can equate the two equations:

P1V1/T1 = P2V2/T2

Now, let's substitute the given values into the equation and solve for the number of moles (n):

(100 kPa)(0.2 m^3)/(290.15 K) = (300 kPa)(0.2 m^3)/(320.15 K)

Simplifying the equation, we find:

n = (100 kPa)(0.2 m^3)(320.15 K) / [(290.15 K)(300 kPa)]

Now, we can calculate the change in helium mass using the equation:

Change in mass = n × molar mass of helium

The molar mass of helium is approximately 4 g/mol.

Let's calculate the change in helium mass:

Calculation:

``` n = (100 kPa)(0.2 m^3)(320.15 K) / [(290.15 K)(300 kPa)] Change in mass = n × 4 g/mol ```

Using the given values and performing the calculation, we can determine the change in helium mass in the cylinder.