what is the new volume, , of the gas?

Question

A sample of gas in a balloon has an initial temperature of 21  and a volume of 1890  . If the temperature changes to 93  , and there is no change of pressure or amount of gas.

Answer 1

I would assume you are studying gas laws. The law that the volume of a given mass of gas varies directly with absolute temperature of the mass gas when pressure is kept constant. This is represented as:

V/T = k

The questions state there is no pressure change, therefore, the pressure is constant. So we can use the following equation:

V₁/ T₁ = V₂/T₂

T₁ = 21 + 273 = 294K

V₁ = 1890 L Side note: In chemistry always put units, for this problem I will T₂ = 93 + 273 = 366K assume the unit is Liter.

Now solve for V_2:

V_{2 =} V₁(T₂)/ T₁ = (1890 L* 366 K)/294 K = 2353 L

Answer 2

You are given

Initial temperature T1 = 21 + 273 = 294K

Initial volume V1 = 1890 units (?)

Final temperature T2 = 93 + 273 = 366K

You are asked to find

Final volume (V2)

Use V1/T1 = V2/T2

plug in the values and solve for V2