Question

1)Начальное состояние газа р0, V0, T0. Газ подвергли сначала изобарическому расширению до объема Vl, после чего нагрели при постоянном объеме до давления р1. Найти температуру газа в конечном состоянии

Answer 1

1) При изобарическом расширении
$\frac{V0}{T0} = \frac{V1}{T1}$

2) При изохорном нагревании( при постоянном объеме)
$\frac{p0}{T1} = \frac{p1}{T2}$

нам нужно выразить Т2
$T2 = \frac{p1T1}{p0}$

Но мы не знаем величину Т1. Выразим ее из 1 уравнения:
$T1 = \frac{V1*T0}{V0}$
И подставим в Т2:
$T2 = \frac{T0*p1*V1}{p0*V0}$

Answer 2

Gas Thermodynamics Problem

To find the temperature of the gas in the final state after undergoing isobaric expansion followed by heating at constant volume to a certain pressure, we can use the combined gas law and the specific heat capacities at constant pressure and constant volume.

1. Initial State: - Initial pressure: p0 - Initial volume: V0 - Initial temperature: T0

2. Isobaric Expansion: - The gas undergoes isobaric expansion until the volume becomes V1.

3. Heating at Constant Volume: - The gas is then heated at constant volume until the pressure becomes p1.

Solution

The combined gas law states that for a given amount of gas, the product of pressure and volume divided by the temperature is constant. Mathematically, it can be expressed as:

(p0 * V0) / T0 = (p1 * V1) / T1

Solving for the final temperature T1: ``` T1 = (p1 * V1 * T0) / (p0 * V0) ```

This formula allows us to calculate the final temperature of the gas after the described process.

Answer

Using the given values of initial pressure, volume, and temperature, and the final pressure and volume, we can calculate the final temperature of the gas using the formula above.

Please note: The search results provided did not contain specific information related to the gas thermodynamics problem described. Therefore, the solution provided is based on the principles of the combined gas law and thermodynamics.