Question

A container has 64 g of O, at temperature T and
pressure P. If same container has 8 g of H, at
temperature 27, then its pressure will be
(2) 2P
(1) P
(3) 4P
(4) 8P
nf state corresponding to 56 g of N.​

Answer 1

The pressure will be

(3) 4P.

Given, the amount of oxygen (O) = 64 gm,

No. of moles of O (n) = Weight/Mol. Mass = 64/32 = 2

Also, the amount of hydrogen (H) = 8 gm.

No. of moles of H (n') = Weight/Mol.Mass = 8/2 = 4

The pressure of oxygen is P and the temperature of oxygen is T.

The temperature of hydrogen (T') is 2T.

Let the pressure of hydrogen be P'.

We know, P = nRT

where R is the universal gas constant.

So, P/P' = nRT/n'RT'

⇒ P/P' = (2RT)/(4R×2T)

⇒ P/P' = 1/4

⇒ P' = 4P

So, option (3) is correct.