Question 283: Thermodynamics & KTG

Question

A mixture of hydrogen and oxygen has volume 2000 cm
3
, 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
]

Accepted Answer

$${P_1}V = {n_1}RT$$
$${P_2}V = {n_2}RT$$
$$\Rightarrow$$ (100 kPa) V = (n
1
+ n
2
)RT
$$ \Rightarrow {n_1} + {n_2} = {{(100\,kPa)(2000\,c{m^3})} \over {8.3 	imes 300}}$$ ..... (1)
Also, n
1
$$	imes$$ 2 + n
2
$$	imes$$ 32 = 0.76 ...... (2)
Solving (1) and (2),
n
1
= 0.06
n
2
= 0.02
$$ \Rightarrow {{{n_1}} \over {{n_2}}} = 3$$

Answer

$${1 \over 3}$$

Answer

$${3 \over 1}$$

Answer

$${1 \over 16}$$

Answer

$${16 \over 1}$$

Thermodynamics & KTG

A mixture of hydrogen and oxygen has volume 2000 cm 3 , 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 ]

Choose the correct answer: