For hydrogen, the specific heat capacities at constant volume and at constant pressure are 2.4 cal g ⁻¹ ^ C ⁻¹ and 3.4 cal g ⁻¹ ^ C ⁻¹ respectively. The molecular weight of hydrogen is 2 g mol ⁻¹ and the gas constant R = 8.3 10^7 erg ^ C ⁻¹

Question

For hydrogen, the specific heat capacities at constant volume and at constant pressure are 2.4 cal g ⁻¹ ^ C ⁻¹ and 3.4 cal g ⁻¹ ^ C ⁻¹ respectively. The molecular weight of hydrogen is 2 g mol ⁻¹ and the gas constant R = 8.3 10^7 erg ^ C ⁻¹ mol ⁻¹ . Determine the value of J .

Quantrex Academy · Accepted Answer

Correct answer: A. 4.15 10^7 erg cal ⁻¹

Given specific heat capacities of hydrogen: c_p = 3.4 cal g ⁻¹ ^ C ⁻¹ c_v = 2.4 cal g ⁻¹ ^ C ⁻¹ Molecular weight M = 2 g mol ⁻¹ Gas constant R = 8.3 10^7 erg ^ C ⁻¹ mol ⁻¹ Molar heat capacity at constant pressure, C_p = M c_p = 2 3.4 = 6.8 cal mol ⁻¹ ^ C ⁻¹ Molar heat capacity at constant volume, C_v = M c_v = 2 2.4 = 4.8 cal mol ⁻¹ ^ C ⁻¹ According to Mayer's relation: C_p - C_v = R J 6.8 - 4.8 = 8.3 10^7 J 2.0 = 8.3 10^7 J J = 8.3 10^7 2.0 = 4.15 10^7 erg cal ⁻¹

For hydrogen, the specific heat capacities at constant volume and at constant pressure are 2.4 cal g ⁻¹ ^ C ⁻¹ and 3.4 cal g ⁻¹ ^ C ⁻¹ respectively. The molecular weight of hydrogen is 2 g mol ⁻¹ and the gas constant R = 8.3 10^7 erg ^ C ⁻¹ mol ⁻¹ . Determine the value of J .

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