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Question

At constant pressure of 0.0823 atm, log V vs log T are plotted for 3 mole samples of an ideal gas. V and T are in litre and K. Which of the following statements are not correct?


A

The curve is a straight line with slope −1.
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B
The curve is straight line with slope +1.
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C
The intercepet on Y−axis is equal to 2.
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D
The intercepet on Y−axis is equal to 0.48
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Solution

The correct options are
A

The curve is a straight line with slope −1.

C The intercepet on Y−axis is equal to 2.
$$PV= nRT$$ or $$\displaystyle \log V = \log \:T + \log \frac{nR}{P}$$
$$Slope=\tan \theta =\tan 45^{\circ}=1$$
$$\displaystyle Intercept =\log \frac{nR}{P}=\log\left [ \frac{3\times 0.0821}{0.0821} \right ]=0.477121=0.48$$
Options A and C are incorrect statements.

Chemistry

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