Answer:
Only option a and b follows the first law of thermodynamics.
Explanation:
As we know that the first law of  thermodynamics tells the conservation of energy,that is why it is also called quantitative law.
From the first law of thermodynamics
Q = ΔE + W
a.
Given that
W= 50 KJ,Q= 170KJ ,ΔE=120 KJ
Yes this follows the first law of  thermodynamics.
b.
Given that
W= 100 Btu,Q= -110 Btu ,ΔE= -210 Btu
This also satisfy the  first law of  thermodynamics.
c.
Given that
W= 250 KJ,Q= -110 KJ ,ΔE=-100 KJ
Yes this does not follow the first law of  thermodynamics.
d.
Given that
[tex]W= 44 \frac{KPa}{m^3},Q= -84\frac{KPa}{m^3} ,\Delta E=40 \frac{KPa}{m^3}[/tex]
Yes this does not follow the first law of  thermodynamics.
So only option a and b follows the first law of thermodynamics.