Question

Q. 1. If the kinetic energy of hydrogen is 151-91 J at the pressure of
1 atmosphere, then its volume is​

Answer 1

Answer:

1 Litre

Explanation:

Kinetic Energy of Hydrogen KE = 151.91 J

Pressure P                                   = 1 atm  = 1.013 × 10⁵ N/m²

Kinetic Energy of an ideal gas is given by

$KE=\frac{3}{2}nRT$

but we know that from Ideal Gas Equation

$PV=nRT$

Therefore, the Kinetic Energy of a gas can be written as

$KE=\frac{3}{2}PV$

or, $V=\frac{2}{3} \times\frac{KE}{P}$

Putting the values we get

$V=\frac{2}{3} \times\frac{151.91}{1.013\times10^{5}}$

or, $V=\frac{99.97}{10^{5}}$ m³

or, $V=\frac{99.97}{100}$ L

or V ≈ 1 Litre

Therefore, the volume of the hydrogen is 1 Litre

Hope this helps you.