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A scuba tank of fixed volume is originally at a pressure of 50.0 atm and a temperature of 390 K. When it is placed near a fire pit in Eddie's yard, the temperature rises to 450 K. What is the new pressure of gas in the tank?

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Answer:

The new pressure of the gas is 57.69atm

Explanation:

P1 = 50 atm

T1 = 390K

T2 = 450K

P2 = ?

This problem requires pressure law.

Pressure law states that the pressure of a fixed mass of gas is directly proportional to its temperature provided volume remains constant.

Mathematically,

P = kT, k = P / T

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

P1 / T1 = P2 / T2

Solve for P2,

P2 = (P1 * T2) / T1

P2 = (50 * 450) / 390

P2 = 57.69atm

The new pressure of the gas is 57.69atm

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