In a plasma experiment 5.0 mg of deuterium, an isotope of hydrogen, occupies a volume of 98 m3. The temperature of deuterium is raised to 1.3 × 108 K. In this experiment, the deuterium behaves as an ideal gas.
i)
Calculate the pressure due to the deuterium ions.
mass of deuterium ion = 3.3 × 10−27 kg
(3)
Pressure = .............................................
ii)
Calculate the root mean square speed of the deuterium ions at this temperature.
(2)
Root mean square speed = ......................................
iii)
The temperature of the plasma is monitored using the Doppler effect. Light from a laser is directed into the plasma and the wavelength of the light reflected is measured.
The Doppler shift observed when light is reflected by a deuterium ion is twice the Doppler shift that would be observed for a source of light moving at the same speed as the deuterium ion.
Calculate the maximum wavelength of light that would be detected after reflection from a deuterium ion moving at 1.5 × 106 m s−1.
wavelength of laser light = 1064 nm
(3)
Maximum wavelength detected = ..................................