The specific heat capacities of hydrogen 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 - 107 erg - C -1 mol -1 - Calculate the value of J -

Specific heat capacity at constant volume, Cv(H2) = 2.4 cal/g deg;C Specific heat capacity at constant pressure, Cp(H2) = 3.4 cal/g deg;C Molecular weight ...

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Byju's Answer

Standard XII

Chemistry

Liquefaction of Gases and Critical Constants

The specific ...

Question

The specific heat capacities of hydrogen 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 × 10⁷ erg °C⁻¹ mol⁻¹. Calculate the value of J.

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Solution

Specific heat capacity at constant volume, C_v(H₂) = 2.4 cal/g-°C
Specific heat capacity at constant pressure, C_p(H₂) = 3.4 cal/g-°C
Molecular weight, M = 2 g/mol
Gas constant, R = 8.3 × 10⁷ erg/mol-°C
We know: C_p − C_v= 1 cal/g-°C,
where C_p_andC_vare molar specific heat capacities.
So, difference of molar specific heat,
C_p × M − C_v × M = 1 cal/mol-°C

Now, 2 × J = R
⇒ 2 × J = 8.3 × 10⁷ erg/mol-°C
⇒ J = 4.15 × 10⁷ erg/cal

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The specific heat capacities of hydrogen 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 × 107 erg °C−1 mol−1. Calculate the value of J.

The specific heat capacities of hydrogen 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 × 10⁷ erg °C⁻¹ mol⁻¹. Calculate the value of J.