  The well known black hole candidate H~1743-322 exhibited temporal and
spectral variabilities during several outbursts. Daily variation of the
accretion rates and the flow geometry change on a daily basis during each of
the outbursts could be understood very well using the recent implementation of
two component advective flow (TCAF) solution of the viscous transonic flow
equations as an additive table model in XSPEC. This has dramatically improved
our understanding about the accretion flow dynamics. Most interestingly, the
solution allows to treat mass of the black hole candidate as a free parameter
and there mass could be estimated from spectral fits. In this paper, we fit the
data of two successive outbursts of H~1743-322 in 2010 and 2011 and studied
evolutions of accretion flow parameters, such as, two component (Keplerian and
sub-Keplerian) accretion rates, shock location (i.e., size of the Compton
cloud), etc. We assume that the model Normalization remains the same accross
the states in both these outbursts. We use this to estimate mass of the black
hole and found that it comes out in the range of $9.25-12.86 M_\odot$. For the
sake of comparison, we also estimated mass using Photon index vs. QPO frequency
correlation method which turns out to be $11.65 \pm 0.67 M_\odot$ using GRO
J1655-40 as reference source. Combining these two estimates, the most probable
mass of the compact object becomes $11.21^{+1.65}_{-1.96} M_\odot$.
