Question

A sample of gas occupies 17 mL at -112 degrees c. What volume does the sample occupy at 70 degrees c?

Answer 1

According to the ideal gas law, V1/T1=V2/T2. Temperature in the unit of K. So volume is 17*343/161=36.2 mL. The answer is the sample has volume of 36.2 mL.

Answer 2

36.22 mL

Step-by-step explanation:

The law that applies to this question is the charles' law which states that the volume of a given mass of gas is directly proportional to its temperature (in kelvin), provided pressure remains constant. The formula is

V1/T1 = V2/T2

The temperatures will have to be converted to kelvin (K) as stated by the law

T1 = -112 °C + 273 = 161 K

T2 = 70 °C + 273 = 343 K

from the question, V1 = 17 mL while V2 is unknown hence we can deduce V2 from the charles' law formula provided earlier

17/161 = V2/343

when you cross multiply, you will have
`(17 * 343)/(161)\\` = V2

V2 = 36.22 mL