Question

A vessel contains 16 g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the vessel in cm³ is ______.

Options

• 72 × 10⁵

• 32 × 10⁵

• 27 × 10⁴

• 54 × 10⁴

Answer 1

A vessel contains 16 g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the vessel in cm³ is 27 × 10⁴.

Explanation:

The total number of moles in a given vessel,

n = `n_(H_2) + n_(O_2)`

= `16/2 + 128/32`

= 8 + 4

= 12 moles

Using the Ideal Gas Equation, we now have;

PV = nRT

`1 xx 10^5 xx V = 12 xx 8.314 xx 273`

`V = (12 xx 8.314 xx 273)/(10^5)m^3`

≈ `27 xx 10^4  m^3`