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Will the volume of a 1.0 L sample of gas at STP change if the pressure and temperature are both doubled

1 Answer

6 votes

Answer:

The volume will not change. This belongs in Ripley's Believe It or Not.

Step-by-step explanation:

The combined gas law can be used to model both the initial (1) and ending (2) states of a gas when pressure (P), temperature (T) and/or volume (V) change, but the number of moles does not. Remember that temperature must always be in Kelvin.

P1V1/T1 = P2T2/T2

Rearranging for V2:

V2 = V1(T2/T1)(P1/P2)

I've arranged the pressure and temperature terms as ratios. This makes it easier to see what impact changes will have, plus the units conveniently cancel for both.

(V2) = (1 L)(T2/T1)(P1/P2)

We are told that P2 and T2 are both doubled:

(T2/T1) = 2

(P1/P2) = 1/2

V2 = (1 L)(T2/T1)(P1/P2)

V2 = (1 L)(2)(1/2)

V2 = (1 L)(2)(1/2)

V2 - 1 L

The volume does not change. Bummer.

User Jmgarnier
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