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Thermodynamics question

2022 · Q128
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Thermodynamics question

2022 · Q128

NEETChemistryThermodynamicsMCQ+4 / −1

A vessel contains 3.2 g of dioxygen gas at STP (273.15 K and 1 atm pressure). The gas is now transferred to another vessel at constant temperature, where pressure becomes one third of the original pressure. The volume of new vessel in L is : (Given : molar volume at STP is 22.4 L)

  1. A
    67.2
  2. B
    6.72
  3. C
    2.24
  4. D
    22.4
View written solutionFree

Correct answer: B

At constant temperature and amount

$${P_1}{V_1} = {P_2}{V_2}$$

$${P_1}{V_1} = {{{P_1}} \over 3}{V_2}$$ [$\therefore$ $${P_2} = {{{P_1}} \over 3}$$]

${V_2} = 3{V_1}$

mole of $${O_2}(g) = {{3.2} \over {32}} = 0.1$$ mole

Volume of $${O_2}(g) = (0.1 \times 22.4)$$ L = 2.24 L

At STP (V1)

$${V_2} = 3{V_1} = 3 \times 2.24$$

= 6.72 L

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