  Galactic X-ray binary black hole candidate Swift~J1753.5-0127 was discovered
on June 30 2005 by Swift/BAT instrument. In this paper, we make detailed
analysis of spectral and timing properties of its 2005 outburst using RXTE/PCA
archival data. We study evolution of spectral properties of the source from
spectral analysis with the additive table model {\it fits} file of the
Chakrabarti-Titarchuk two-components advective flow (TCAF) solution. From
spectral fit, we extract physical flow parameters, such as, Keplerian disk
accretion rate, sub-Keplerian halo rate, shock location and shock compression
ratio, etc. We also study the evolution of temporal properties, such as
observation of low frequency quasi-periodic oscillations (QPOs), variation of
X-ray intensity throughout the outburst. From the nature of the variation of
QPOs, and accretion rate ratios (ARRs=ratio of halo to disk rates), we classify
entire 2005 outburst into two harder (hard-intermediate and hard) spectral
states. No signature of softer (soft-intermediate and soft) spectral states are
seen. This may be because of significant halo rate throughout the outburst.
This behavior is similar to a class of other short orbital period sources, such
as, MAXI~J1836-194, MAXI~J1659-152 and XTE~J1118+480. Here, we also estimate
probable mass range of the source, to be in between $4.75 M_\odot$ to $5.90
M_\odot$ based on our spectral analysis.
