Question

the temperature of a gas is changed from 200K to increase its initial volume of 2.5L to 6.4L. find the final temperature of the gas

Answer 1

final temperature of gas = 512 Kelvin (or 239°C)

Step-by-step explanation:

It's all about Charles' law

Charles' law: The volume of an ideal gas is directly proportional to the absolute temperature AT CONSTANT PRESSURE.

then, we conclude that:

`(V_1)/(T_1 ) = (V_2)/(T_2)`

in which V1 : initial volume in Liters, T1: initial temperature in Kelvin, V2: final volume in Liters, T2: final temperature in Kelvin.

*Temperature in Kelvin = Temperature in Celsius + 273

GIVEN THAT:

T1 = 200K,
V1 = 2.5L
V2 = 6.4L

By substituting in Charles' formula:


`(2.5)/(200) = (6.4)/(T_2)`

Then:


`T_2 = (6.4 * 200)/(2.5) = 512 Kelvin`

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