Using the equation below answer the following: dq = (3nR/2)dT + (nRT/V)dV a. Write the abstract...

Using the equation below answer the following:

dq = (3nR/2)dT + (nRT/V)dV

a. Write the abstract form of this total differential.

b. The way it is written, q is a function of ____ and ______.

c. Detetermine whether the differential is exact.

d. Determine whether q is a state function.

Expert Solution

a) The abstract differential is written as

q = Aq + B

where q is the differential function and A is the value of the function while B is a constant.

b) The partial differential shows that dq depends on both dT and dV; therefore, q is a function of the temperature, T and volume, V of the system under study.

c) q depends on both T and V. q is a path function, i.e, depends on the path taken by the system. A path function is always an exact differential; hence, q is an exact differential.

d) q is path function, i.e, depends only on the path taken by the system. q can have different values depending on the different paths taken by the system. q doesn’t depend on the state of the system; hence, q is not a state function.

queen_honey_blossom answered 2 years ago

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