Write mathematical equations of first law of thermodynamics for the fo

1.	Write mathematical equations of first law of thermodynamics for the following processes:a. Adiabatic process b. Isochoric process
Answer» a. Adiabatic process: The mathematical expression of first law of thermodynamics is ΔU = q + W. In adiabatic process, q = 0. Hence, the mathematical expression of first law of thermodynamics for adiabatic process is, ΔU = 0 + W ∴ ΔU = +W or - ΔU = - W b. Isochoric process: The mathematical expression of first law of thermodynamics is ΔU = q + W (W = - p_ex ΔV). In isochoric process, ΔV = 0, W = 0 Hence, the mathematical expression of first law of thermodynamics for isochoric process is, ΔU = q_v + 0 ∴ ΔU = q_v

Write mathematical equations of first law of thermodynamics for the following processes:a. Adiabatic process b. Isochoric process

Answer»

a. Adiabatic process: The mathematical expression of first law of thermodynamics is

ΔU = q + W.

In adiabatic process, q = 0.

Hence, the mathematical expression of first law of thermodynamics for adiabatic process is,

ΔU = 0 + W

∴ ΔU = +W

or - ΔU = - W

b. Isochoric process: The mathematical expression of first law of thermodynamics is

ΔU = q + W (W = - p_ex ΔV).

In isochoric process, ΔV = 0, W = 0

Hence, the mathematical expression of first law of thermodynamics for isochoric process is,

ΔU = q_v + 0

∴ ΔU = q_v

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