A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300… | JEE Main 2022 (27 Jun, Shift 1)

Q56JEE Main 2022 · 27 JUN · SHIFT 1Medium

Gas Laws & Ideal Gas Equation

A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be:

[Take gas constant R = 8.3 JK ${}^{-1}$ mol ${}^{-1}$ ]

Show answer and solution

Answer: (b)

Total moles $n = \frac{PV}{RT} = \frac{10^5 \times 2 \times 10^{-3}}{8.3 \times 300} = 0.0803$ mol.
Let $x$ = moles of H₂, $y$ = moles of O₂: $x + y = 0.0803$ , $2x + 32y = 0.76$ .
Solving: $30y = 0.76 - 0.161 \Rightarrow y \approx 0.020$ , $x \approx 0.060$ .
$\frac{x}{y} = \frac{3}{1}$ , so the answer is (b).

Report a mistake

More questions on Gas Laws & Ideal Gas Equation

A balloon carries a total load of 185 kg at normal pressure and temperature of 27 ° C…JEE Main 2021 (27 Aug, Shift 1)
An ideal gas is expanding such that PT3 = constant. The coefficient of volume expansion…JEE Main 2021 (27 Aug, Shift 1)
Which of the following graphs represent the behavior of an ideal gas? Symbols have their…JEE Main 2021 (20 Jul, Shift 2)
A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa…JEE Main 2021 (31 Aug, Shift 2)
A cylindrical container of volume 4.0 × 10 - 3 m3 contains one mole of hydrogen and two…JEE Main 2021 (26 Aug, Shift 2)
A container is divided into two chambers by a partition. The volume of first chamber is…JEE Main 2021 (26 Feb, Shift 1)
For an ideal gas the instantaneous change in pressure 'p' with volume 'v' is given by the…JEE Main 2021 (31 Aug, Shift 1)
The average thermal energy for a mono-atomic gas is: (kB is Boltzmann constant and T…NEET 2020 (Phase 1)

Gas Laws & Ideal Gas Equation question from JEE Main 2022 (27 Jun, Shift 1)

More questions on Gas Laws & Ideal Gas Equation