Question

При постоянном давлении газ сжали от объема 0,5 м3. До объема 0,25 м3. Определить первоначальную температуру газа, если температура в конце процесса 450 К

Answer 1

P = const
V1/T1 = V2/T2
T2 = 450 K
V1 = 0.5 m^3
V2 = 0.25 m^3
T1 = V1*T2/V2 = 0.5*450/0.25 = 900 K

Answer 2

Gas Law Calculation

To calculate the initial temperature of the gas, we can use the combined gas law formula, which relates the pressure, volume, and temperature of a gas. The combined gas law formula is:

P1 * V1 / T1 = P2 * V2 / T2

Where: - P1 = initial pressure - V1 = initial volume - T1 = initial temperature - P2 = final pressure - V2 = final volume - T2 = final temperature

Given: - Initial volume, V1 = 0.5 m^3 - Final volume, V2 = 0.25 m^3 - Final temperature, T2 = 450 K

We need to solve for the initial temperature, T1.

Calculation

Using the combined gas law formula, we can rearrange it to solve for the initial temperature, T1:

T1 = P1 * V1 * T2 / (P2 * V2)

Now, we can substitute the given values into the formula and calculate the initial temperature.

T1 = P1 * V1 * T2 / (P2 * V2)

T1 = P1 * 0.5 * 450 / (P2 * 0.25)

Conclusion

By using the combined gas law formula, we can calculate the initial temperature of the gas.