Question

In a Time of flight mass spectrometer, an ion of molecular mass 400 Da reaches the detector at 15 mins. So an ion of 500 Da will reach at (how many
mins)​

Answer 1

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Answer 2

Answer:

An ion of molecular mass $500$ $Da$  will reach the detector at a time $16.77$ $mins$.

Explanation:

The time of flight is given by the formula:

$t=d\times \sqrt{\frac{m}{2K.E} }$

where $d$ is the flight's tube length

           $m$ is the particle's mass.

           $K.E$ is the particle's kinetic energy.

• We see that time of flight is directly proportional to the square root of the mass of the particle.
• The kinetic energy of both the particles is the same.

Let $T$ is the required time of flight.

$\frac{15 mins}{T} =\sqrt{\frac{400 Da}{500 Da} }$

$\frac{15 mins}{T} ={\frac{20}{22.36} }$

$T=16.77$ $mins$

So, an ion of molecular mass $500$ $Da$  will reach the detector at a time $16.77$ $mins$.