Engineering
Chemistry
First Law and Various Process
Pressure Volume and Temperature
Ideal Gas Equation
Question

The P-T graph as given below was observed for a process of an ideal gas, which of the following statement is true?

w = +ve, ΔH = +ve

w = –ve, ΔH = –ve

w = –ve, ΔH = +ve

w = +ve, ΔH = –ve

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Solution
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Hint

Change in enthalpy, ΔH = nCPΔT

Explanation

Enthalpy change will be positive as temperature changes can never be negative.

And both the constant term is positive,

Thus,

ΔH = (+)ve

When the temperature fluctuates on this graph, the enthalpy changes as well.

Again, from the gas equation it is clear that,

V ∝ T

When the temperature rises, the volume of the gas rises with it.

W = – P (V2 – V1)

As volume increases so (V2 – V1) is positive.

So, amount of work done is positive.

Final answer

The correct answer is option (A).