Question

Масса m газа находится под давлением p1 при температуре T. При изотермическом сжатии давление газа увеличилось в n раз и произведенная работа равна A. Найти молярную массу

Answer 1

V · p1 · n=(m÷M) · R·T

A=p · ΔV

 R=8.31

Answer 2

Calculation of Molar Mass of Gas

To find the molar mass of the gas, we need to use the ideal gas law equation, which states:

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), the temperature (T), and the factor by which the pressure increases (n) during the isothermal compression. We are also given the work done (A) during this compression.

To find the molar mass, we need to rearrange the ideal gas law equation to solve for n:

n = PV / RT

Since the temperature remains constant during the isothermal compression, we can rewrite the equation as:

n = p1V / RT

Now, let's substitute the given values into the equation and solve for n:

n = p1V / RT

Calculation of Work Done

During the isothermal compression, the work done (A) is given by the equation:

A = nRT ln(V2/V1)

Where: - V1 is the initial volume of the gas - V2 is the final volume of the gas

Since the temperature remains constant, the equation simplifies to:

A = nRT ln(V2/V1)

Now, let's substitute the given values into the equation and solve for A:

A = nRT ln(V2/V1)

Calculation of Molar Mass

To find the molar mass of the gas, we can rearrange the equation for n:

n = p1V / RT

Substituting this into the equation for work done:

A = (p1V / RT) * RT ln(V2/V1)

Simplifying:

A = p1V ln(V2/V1)

Now, let's solve for the molar mass (M):

M = (p1V ln(V2/V1)) / A

Substituting the given values into the equation, we can calculate the molar mass.

Please provide the values of p1, V, V1, V2, and A so that we can calculate the molar mass for you.