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Question

For one mole of an ideal gas, the slope of V vs. T curve at constant pressure of 2atm is X Lmol−1K−1. The value of the ideal universal gas constant ′R′ in terms of X is :

A
X L atm mol1K1
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B
X2 L atm mol1K1
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C
2X L atm mol1K1
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D
2 X atm L1 mol1K1
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Solution

The correct option is C 2X L atm mol1K1
Ideal gas equation is
pV=nRT or V=nRTp+C

or V=RTp+0 (for 1 m)

When V vs T is plotted, a straight line is obtained, slope of which is given by R/p.
Thus
Slope =RpX=R2

or R=2 X L atm mol1K1

Option (C) is correct.

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