During an adiabatic process, the pressure of the gas is found to be proportional to the fourth power of temperature. The ideal gas would be;
Correct answer: A. H2
- A. H2
- B. He
- C. CH2
- D. Mixture of H2 and He
Explanation
The correct answer is hydrogen gas (H2) because it is a diatomic molecule that adheres to the equation P^y = T^z, where y = 4 and z = 1, indicating that pressure is proportional to the fourth power of temperature during adiabatic processes. The energy transfer capabilities of diatomic molecules allow for this specific relationship.In contrast, helium (He) is a monatomic gas and does not exhibit the same relationship, making it an incorrect choice. Methylene (CH2) is a polyatomic gas, which also does not fit the criteria given in the question. Finally, a mixture of hydrogen and helium fails to satisfy the condition as the presence of a monatomic gas disrupts the ideal behavior necessary for the fourth power relationship.
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About Molar Specific Heat of a Gas
Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.
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