Statement 1: The volume of a gas at $373$ K and a pressure of $600$ millimeters of mercury will be decreased at STP.
Statement2: Decreasing the temperature and increasing the pressure will cause the volume to decrease because $V_{2} = V_{1} \times \frac{P_{1}}{P_{2}} \times \frac{T_{2}}{T_{1}}$ .

Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.

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Both Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.

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Statement 1 is correct but Statement 2 is not correct.

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Statement 1 is not correct but Statement 2 is correct.

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Both the Statement 1 and Statement 2 are not correct.

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Solution

The correct option is A
Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.

$V = \frac{n R T}{P}$

$V \propto \frac{T}{P}$
Thus, volume is directly proportional to temperature and inversely proportional to pressure.
The expression for obtaining final volume is :
$V_{2} = V_{1} \times \frac{P_{1}}{P_{2}} \times \frac{T_{2}}{T_{1}}$ .
$∴$ Both Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement 1.

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Statement 1: The volume of a gas at 373K and a pressure of 600 millimeters of mercury will be decreased at STP.Statement2: Decreasing the temperature and increasing the pressure will cause the volume to decrease because V2=V1×P1P2×T2T1.

Statement 1: The volume of a gas at $373$ K and a pressure of $600$ millimeters of mercury will be decreased at STP.
Statement2: Decreasing the temperature and increasing the pressure will cause the volume to decrease because $V_{2} = V_{1} \times \frac{P_{1}}{P_{2}} \times \frac{T_{2}}{T_{1}}$ .