We present results obtained from the analysis of a total of 110 ks Chandra observations of 3C 320 FR II radio galaxy , located at the centre of a cluster of galaxies at a redshift z = 0.342 . A pair of X-ray cavities have been detected at an average distance of \sim 38 kpc along the East and West directions with the cavity energy , age and total power equal to \sim 7.7 \times 10 ^ { 59 } erg , \sim 7 \times 10 ^ { 7 } yr and \sim 3.5 \times 10 ^ { 44 } erg s ^ { -1 } , respectively . The cooling luminosity within the cooling radius of \sim 100 kpc was found to be L _ { cool } \sim 8.5 \times 10 ^ { 43 } erg s ^ { -1 } . Comparison of these two estimates implies that the cavity power is sufficiently high to balance the radiative loss . A pair of weak shocks have also been evidenced at distances of \sim 47 kpc and \sim 76 kpc surrounding the radio bubbles . Using the observed density jumps of \sim 1.8 and \sim 2.1 at shock locations along the East and West directions , we estimate the Mach numbers ( \mathcal { M } ) to be \sim 1.6 and \sim 1.8 , respectively . A sharp surface brightness edge was also detected at relatively larger radius ( \sim 80 kpc ) along the South direction . Density jump at this surface brightness edge was estimated to be \sim 1.6 and is probably due to the presence of a cold front in this cluster . The far-infrared luminosity yielded the star formation rate of 51 M _ { \odot } yr ^ { -1 } and is 1/4 ^ { th } of the cooling rate ( \dot { M } \sim 192 M _ { \odot } yr ^ { -1 } ) .