Question

Масса m=1кг двухатомного газа находится под давлением p=60кПа и имеет плоность p= 4кг/м^3. Найти внутреннюю энергию U молекул газа при этом условии.

Answer 1

Дано

m=1кг

P=60кПа=60*10^3 Па

p=4кг/м^3

i =5

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U - ?

 

РЕШЕНИЕ

 

уравнение состояния идеального газа   pV=vRT

 

внутренняя энергия ДВУХАТОМНОГО газа

U=5/2 *vRT = 5/2 *PV = 5/2 *P*(m/p)=5/2 *60*10^3*1/4= 37500 Дж =37.5 кДж

 

ОТВЕТ 37500 Дж =37.5 кДж

 

 

 

 

Answer 2

Given Information:

- Mass of the gas, m = 1 kg - Pressure of the gas, p = 60 kPa - Density of the gas, p = 4 kg/m^3

Finding the Internal Energy (U) of the Gas:

To find the internal energy (U) of the gas, we need to use the ideal gas law equation, which relates the pressure, volume, and temperature of a gas. The 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 the gas - R is the ideal gas constant - T is the temperature of the gas

Since we are given the mass of the gas and the density, we can calculate the volume of the gas using the formula:

V = m / p

Substituting this value of V in the ideal gas law equation, we can solve for the internal energy (U) of the gas.

Calculation:

Given: - Mass of the gas, m = 1 kg - Pressure of the gas, p = 60 kPa - Density of the gas, p = 4 kg/m^3

Using the formula for volume, we can calculate the volume of the gas:

V = m / p = 1 kg / 4 kg/m^3 = 0.25 m^3

Now, substituting the values of p, V, and R (ideal gas constant) into the ideal gas law equation, we can solve for the internal energy (U) of the gas.

pV = nRT

U = nRT

Since we are not given the temperature or the number of moles of the gas, we cannot calculate the exact value of the internal energy (U) without additional information.

Please provide the temperature or any other relevant information to calculate the internal energy (U) of the gas.