How do you solve #P_1V_1 = P_2V_2# for #V_2#?

1 Answer
Mar 14, 2016

Answer:

Divide each side of the equation by #P_2#.

Explanation:

You have been given an algebraic expression:

#P_1V_1 = P_2V_2#.

I can perform regular arithmetic operations on this equality, PROVIDED that I do so to both sides. So, if I divide BOTH sides by #P_2#, I get:

#(P_1V_1)/P_2 = (cancel(P_2)V_2)/cancel(P_2)# #=# #V_2#