A gas occupies 300 $c m^{3}$ at 273 K and 700 mm pressure. Calculate the volume of the gas at STP

$290.3 c m^{3}$

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$226.3 c m^{3}$

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$576.3 c m^{3}$

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$276.3 c m^{3}$

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Solution

The correct option is D
$276.3 c m^{3}$

According to Boyle's law: $P_{1} V_{1} = P_{2} V_{2} \Rightarrow V_{2} = \frac{P_{1} V_{1}}{P_{2}}$

Here $P_{1} = 700 m m : P_{2} = 760 m m V_{1} = 300 c m^{3}$

$\Rightarrow V_{2} = \frac{700 \times 300}{760}$

$\Rightarrow V_{2} = 276.3 c m^{3}$

Therefore, the volume of gas at STP= $276.3 c m^{3}$

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A gas occupies 300 cm3 at 273 K and 700 mm pressure. Calculate the volume of the gas at STP

The correct option is D 276.3 cm3 According to Boyle's law: P1V1=P2V2⇒V2=P1V1P2 Here P1=700mm : P2=760mm V1=300cm3 ⇒V2=700×300760 ⇒V2=276.3 cm3 Therefore, the volume of gas at STP= 276.3 cm3

A gas occupies 300 $c m^{3}$ at 273 K and 700 mm pressure. Calculate the volume of the gas at STP