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astra-53 [7]
2 years ago
5

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

Chemistry
1 answer:
Dmitry_Shevchenko [17]2 years ago
7 0

Answer:

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

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.

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