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A gas at 600 torr and 300 K is heated to a final volume of 1000 torr. What is the final temperature of the gas?

User Darcara
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1 Answer

5 votes

Answer:

500K

Step-by-step explanation:

We use Charle's law that states that at a constant pressure the volume of a given mass of a gas varies linearly with absolute temperature of the gas.

V ∝ T

V = kT

∴ k is the proportionality constant

v/T = as it a ratio between volume and temperature the value of k would be a constant quantity.

Therefore it can be written as:

v1 / T1 = V2 / T2

Now solving the question:

V1 = 600 torr

T1 = 300 K

V2 = 1000 torr

T2 = ?

600/300 = 1000/T2

T2= (1000 x 300)/600

T2= 500 K

User Marco Massetti
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