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 as follows:

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 (m) and the density of the gas (p), we can calculate the volume (V) of the gas using the formula:

V = m / p

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

Let's calculate it step by step.

Step 1: Calculating the Volume (V) of the Gas:

Using the formula V = m / p, where m = 1 kg and p = 4 kg/m^3, we can calculate the volume (V) of the gas.

V = 1 kg / 4 kg/m^3

V = 0.25 m^3

Therefore, the volume (V) of the gas is 0.25 m^3.

Step 2: Calculating the Internal Energy (U) of the Gas:

Now, we can substitute the values of P, V, and n into the ideal gas law equation and solve for U.

Since we are not given the temperature (T) of the gas, we cannot directly calculate the internal energy (U) without additional information.

Please provide the temperature (T) of the gas to proceed with the calculation.