We read your photo as:

A vessel containing Hydrogen at pressure 0.068 bar, a temperature of 26°C and a volume of 3.5 m³. If the specific heat capacity of Hydrogen at constant volume is 13.3 kJ/kg K. Calculate:

Physics

ScanSolve AI Answer

Answer

17.457 kJ/kg K17.457 \text{ kJ/kg K}

Step-by-step solution

3 steps

Here's the solution for Question 1.1.1:

  1. Identify the given values and relevant constants.

    The specific heat capacity at constant volume for Hydrogen is Cv=13.3 kJ/kg KC_v = 13.3 \text{ kJ/kg K}.
    The molar mass of Hydrogen is M=2 kg/kmolM = 2 \text{ kg/kmol}.
    The universal gas constant is Ru=8.314 kJ/kmol KR_u = 8.314 \text{ kJ/kmol K}.

  2. Calculate the specific gas constant (RR) for Hydrogen.

    The specific gas constant is given by the universal gas constant divided by the molar mass.

    R=RuMR = \frac{R_u}{M} R=8.314 kJ/kmol K2 kg/kmolR = \frac{8.314 \text{ kJ/kmol K}}{2 \text{ kg/kmol}} R=4.157 kJ/kg KR = 4.157 \text{ kJ/kg K}
  3. Calculate the heat capacity at constant pressure (CpC_p) using Mayer's relation.

    For an ideal gas, the relationship between CpC_p, CvC_v, and RR is:

    Cp−Cv=RC_p - C_v = R Cp=Cv+RC_p = C_v + R Cp=13.3 kJ/kg K+4.157 kJ/kg KC_p = 13.3 \text{ kJ/kg K} + 4.157 \text{ kJ/kg K} Cp=17.457 kJ/kg KC_p = 17.457 \text{ kJ/kg K}

    The heat capacity at constant pressure for Hydrogen is 17.457 kJ/kg K17.457 \text{ kJ/kg K}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question