Question

Use Charles's law to complete the following table (assume pressure and number of moles of gas to be constant):

V1	T1	V2	T2
117L	11.3?C	--	120.4?C
--	129K	174L	308K
2.13L	14.4?C	2.43L	--
15.9cm3	--	19.9cm3	11.4?C

Answer 1

Charles's law states that the volume of a fixed amount of gas at constant pressure is directly proportional to temperature of the gas .

   V T

For two cases

Where

V₁ = initial volume

V₂ = final volume

T₁ = initial temperature

T₂ = final temperature

(1) Given

V₁ = initial volume = 117 L

V₂ = final volume = ?

T₁ = initial temperature = 11.3 ^oC = 11.3 + 273 = 284.3K

T₂ = final temperature = 120.4 ^oC = 120.4 + 273 = 393.4 K

So

(2) Given

V₁ = initial volume = ?

V₂ = final volume = 174 L

T₁ = initial temperature = 129 K

T₂ = final temperature = 308 K

So

(3)Given

V₁ = initial volume = 2.13 L

V₂ = final volume = 2.43 L

T₁ = initial temperature = 14.4 ^oC = 14.4 + 273 = 287.4 K

T₂ = final temperature = ?

So

(4)Given

V₁ = initial volume = 15.9 cm³

V₂ = final volume = 19.9 cm ³

T₁ = initial temperature = ?

T₂ = final temperature = 11.4 ^oC = 11.4 + 273 = 284.4 K

So

Therefore the table becomes

V1	T1	V2	T2
117L	11.3?C	161.9L	120.4?C
72.9L	129K	174L	308K
2.13L	14.4?C	2.43L	327.9oC
15.9cm3	-45.8oC	19.9cm3	11.4?C