Thermodynamics: Determine Temp State B (K) at 7atm, 634°C

In summary, an ideal monoatomic gas undergoes an isothermal expansion from state A to state B, doubling its initial volume. It is then compressed isobarically to state C and heated isochorically until it returns to state A. Using the molar gas constant and Boltzmann's constant, the temperature of the gas at state B can be determined by finding the equations that relate states A to B, B to C, and C to A. Given that state C has a pressure of 7 atm and a temperature of 634 °C, the temperature of the gas at state B can be calculated.
  • #1
Dakaa
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Two moles of an ideal monoatomic gas doubles its initial volume in an isothermal expansion from state A to state B. The gas is then compressed isobarically to state C and finally heated isochorically until it returns to state A. The molar gas constant is R = 8.314 J mol–1 K–1 and Boltzmann's constant is 1.38 × 10–23 J K–1.

(a) If state C corresponds to a pressure P = 7 atm (1 atm = 1.013 × 105 Pa) and temperature T = 634 °C, determine the temperature of the gas in state B in K.
 
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  • #2
You will need to show some work so we can guide you in the right direction. For a start, you could write out the equations that relate A to B, B to C, and C to A.
 

1. What is thermodynamics?

Thermodynamics is the branch of science that deals with the relationship between heat, energy, and work.

2. What is a temperature state in thermodynamics?

A temperature state refers to the specific temperature and pressure conditions of a system.

3. How is temperature state B determined?

To determine temperature state B, we need to use the ideal gas law, which states that pressure, volume, and temperature are related by the equation PV = nRT. With the given information of pressure and temperature, we can solve for the unknown variable, which is the temperature in Kelvin.

4. What is the significance of 7atm and 634°C in this question?

7atm and 634°C are the pressure and temperature conditions given for a system. These values are necessary to determine the temperature state B using the ideal gas law.

5. Can temperature state B be determined at any pressure and temperature?

Yes, temperature state B can be determined at any pressure and temperature as long as the other variables in the ideal gas law equation are known.

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