Select one correct statement. In the gas equation,$PV = nRT$

  • A
    $n$ is the number of molecules of a gas
  • B
    $V$ denotes volume of one mole of the gas
  • C
    $n$ moles of the gas have a volume $V$
  • D
    $P$ is the pressure of the gas when only one mole of gas is present

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$A$ gas cylinder contains cooking gas at $14.9 \ atm$ pressure. The pressure gauge of the cylinder reads $12 \ atm$ at $27 \ ^oC$. If the cylinder bursts due to a sudden fire in the building,at what temperature in $^oC$ will the cylinder burst?

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An $LPG$ (Liquefied Petroleum Gas) cylinder weighs $15.0 \ kg$ when empty. When full,it weighs $30.0 \ kg$ and shows a pressure of $3.0 \ atm$. In the course of usage at $27^{\circ}C$,the mass of the full cylinder is reduced to $24.2 \ kg$. The volume of the used gas in cubic metre at the normal usage condition ($1 \ atm$ and $27^{\circ}C$) is (assume $LPG$ to be normal butane and it behaves ideally). (in $m^3$)

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At $21\, ^oC$ temperature,the volume of $212\, g$ of $O_2$ gas is $34\, dm^3$. If the pressure of the gas becomes $1.24\, bar$,then how many grams of $O_2$ gas are left in the container? $(R = 0.083\, dm^3\, bar\, K^{-1}\, mol^{-1})$

Find the moles of $O_2$ having pressure $250 \ bar$ in $500 \ mL$ vessel at $300 \ K$ temperature. $[R = 8.314 \times 10^{-2} \ bar \ L \ K^{-1} \ mol^{-1}]$

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