A gas has a pressure of 851mmHg at 330. K. What will its temperature be at 990. mmHg?

383.90K

Explanation:

P1 = 851mmHg

T1 = 330K

T2 = ?

P2 = 990mmHg

To solve for P2, we have to use pressure law which states that the pressure of a fixed mass of fixed is directly proportional to its temperature provided that volume remains constant

Mathematically,

P = kT, k = P/T

P1 / T1 = P2 / T2 = P3 / T3 = ... = Pn / Tn

P1 / T1 = P2 / T2

T2 = (P2 * T1) / P1

T2 = (990 * 330) / 851

T2 = 383.90K

The final temperature of the gas is 383.90K