We can use the equation:
Q = mcΔT
where Q is the heat absorbed, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.
Rearranging the equation to solve for ΔT, we get:
ΔT = Q / (mc)
Substituting the given values, we get:
ΔT = 150 J / (150 g x 0.96 J/gC)
ΔT = 1.5625 C
Therefore, the final temperature of the chlorine sample would be:
25 C + 1.5625 C = 26.5625 C
Rounding to the nearest tenth, the final temperature is 26.6 C.