Question

Calculate the ratio of change in the mass of molecule of the gas to the initial mass if its speed is reduced to half and the ratio of initial and final pressure is 3 raise to 4

Answer 1

Correct answer is 13:3 or 13/3

Explanation

Kinetic theory of gases

it is stated that,

Kinetic theory of gases also known as kinetic molecular theory.

It basically explains hypothetical behavior of ideal gas.

according to the kinetic molecular theory,

pV≅mv²/2

p'VpV=m'V'²/mV²

m'/m=p'/p(v/v')²=4/3(1/1/2)²=16/3

ratio of Δm to m is given by,

Δm/m=m'-m/m=m'/m-1=13/3

therefore,

Δm is change in mass of gas molecules,

and m is initial value of mass.

therefore 13/3 is the correct answer

Answer 2

just see the uploaded photo