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28 February, 00:03

The constant-pressure specific heat of air at 25°C is 1.005 kJ/kg·°C. Express this value in kJ/kg·K, J/g·°C, kcal / kg·°C, and Btu/lbm·°F. Round the final answers to three decimal place

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  1. 28 February, 01:22
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    a) C_v = 1.005 KJ/kgK

    b) C_v = 1005.000 J/kgC

    c) C_v = 0.240 kcal/kgC

    d) C_v = 0.240 Btu/lbmF

    Explanation:

    Given:

    - constant-pressure specific heat C_v = 1.005 KJ/kgC

    Find C_v in units of:

    a) kJ/kg·K

    b) J/g·°C

    c) kcal / kg·°C

    d) Btu/lbm·°F

    Solution:

    a) C_v is Specific heat capacity is the quantity of heat needed to raise the temperature per unit mass. Usually, it's the heat in Joules needed to raise the temperature of 1 gram of sample 1 Kelvin or 1 degree Celsius. Hence,

    C_v = 1.005 KJ/kgK

    b)

    C_v = 1.005 KJ/kgC * (1000 J / KJ)

    C_v = 1005.000 J/kgC

    c)

    C_v = 1.005 KJ/kgC * (0.239006 kcal / KJ)

    C_v = 0.240 kcal/kgC

    d)

    C_v = 1.005 KJ/kgC * (0.947817 Btu / KJ) * (kg / 2.205 lbm) * (Δ1 C / Δ1.8 F)

    C_v = 0.240 Btu/lbmF
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