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Question

Identify the correct graph between PV and T for an ideal gas.


A

a

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B

b

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C

c

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D

d

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Solution

The correct option is C

c


Explanation for the correct option:

An ideal gas is a hypothetical gas whose molecules occupy negligible space and have no interactions, and which follows all the gas laws at all temperatures and pressure.

The state of an ideal gas is determined by macroscopic and microscopic parameters like pressure, volume, and temperature. It obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics.

For an ideal gas PV= nRT

i.e, PV is directly proportional to T.

Therefore, PV vs T graph will be a straight line passing through the origin.

(c) As we know that PV vs T graph will be a straight line passing through the origin. In this option straight line is passing through the origin.

Explanation for the incorrect option:

(a) As we know that PV vs T graph will be a straight line passing through the origin. In this option straight line is not passing through the origin.

(b) As we know that PV vs T graph will be a straight line passing through the origin. In this option straight line is not passing through the origin.

(d) As we know that PV vs T graph will be a straight line passing through the origin. In this option straight line is not passing through the origin.

Hence, the correct answer is option C.


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