PV/T=pv/t. solve for P
Presumably, upper and lower case symbols indicate two different states of the same number of molecules (n).
By using a little algebra, you should be able to derive
P = p*(v/V)*(T/t)
To solve for P in the equation PV/T = pv/t, we can follow these steps:
Step 1: Multiply both sides of the equation by T to eliminate the fraction on the left side:
PV/T * T = pv/t * T
This simplifies to:
P * V = p * v * T / t
Step 2: Divide both sides of the equation by V to isolate P:
(P * V) / V = (p * v * T) / (t * V)
This simplifies to:
P = (p * v * T) / (t * V)
Therefore, the solution for P in terms of p, v, T, and t is P = (p * v * T) / (t * V).