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Ideal Gas Equation

Which is corr...

Question

Which is correct about Ideal gas?

A

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

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B

$P_{1} V_{1} = P_{2} V_{2}$

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C

$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{1} V_{2}}{T_{2}}$

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D

$V_{1} T_{1} = V_{2} T_{2}$

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Solution

The correct options are
A
$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

B
$P_{1} V_{1} = P_{2} V_{2}$

C
$\frac{P_{1} V_{1}}{T_{1}} = \frac{P_{1} V_{2}}{T_{2}}$

Boyle's Law establish relationship between Pressure and Volume-

$P_{1} V_{1} = P_{2} V_{2}$

Charle's Law establish relation between Volume nad Temperature -

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$

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A

(B + C)

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from an initial state

P_{1}

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to a final state

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is shown in the given figure.
Path

A

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(B + C)

reperesents a reversible adiabatic expansion

(B)

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(D + E)

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Δ S

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