Question

We wish to identify the presence of two isotopes of Ar in a gaseous mixture.

Masses:

m (36Ar) = 6.01 x 10-26 kg

m (40Ar) = 6.67 x 10-26 kg

Singly-charged Ar ions are accelerated to a across a potential difference, and the velocity of the ions is 2.0 x 105 m/s after passing through the velocity selector. The ions then enter the mass spectrometer. Both the velocity selector and mass spectrometer have a uniform magnetic field of 1.50 T pointing into of the plane.

(a) Find the electric field (magnitude and direction) in the velocity selector.

(b) Find the radii the circular paths of the two isotopes.

r (36Ar) = ___

r (40Ar) = ___

(d) What is its speed of the ions just before they hit the detector?

Note: Magnetic field points inwards​

Answer 1

Explanation:

Argon (18Ar) has 26 known isotopes, from 29Ar to 54Ar and 1 isomer (32mAr), of which three are stable (36Ar, 38Ar, and 40Ar). On the Earth, 40Ar makes up 99.6% of natural argon. The longest-lived radioactive isotopes are 39Ar with a half-life of 269 years, 42Ar with a half-life of 32.9 years, and 37Ar with a half-life of 35.04 days. All other isotopes have half-lives of less than two hours, and most less than one minute. The least stable is 29Ar with a half-life of approximately 4×10−20 seconds.[2]

Answer 2

Explanation:

Answer of this question.