If the sign contains neon at a pressure of 1.75 torrtorr at 38 ∘C∘C, how many grams of neon are in the sign? (The volume of a cylinder is πr2hπr2h.) Express your answer using two significant figures.

The question is incomplete, here is the complete question:

A neon sign is made of glass tubing whose inside diameter is 2.5 cm and whose length is 5.5 m. If the sign contains neon at a pressure of 1.75 torr at 38°C, how many grams of neon are in the sign? (The volume of a cylinder is πr²h.) Express your answer using two significant figures.

The mass of neon in the sign is

Explanation:

The equation used to calculate the volume of cylinder is:

where,

V = volume of neon sign

r = radius of the neon sign =      (Conversion factor: 1 m = 100 cm)

h = length/ height of the neon sign = 5.5 m

Putting values in above equation, we get:

  (Conversion factor:   )

To calculate the number of moles, we use the equation given by ideal gas equation:

PV = nRT

Or,

where,

P = Pressure of the gas  = 1.75 torr

V = Volume of the gas  = 2.69 L

w = Weight of the gas  = ?

M = Molar mass of neon gas  = 20 g/mol

R = Gas constant =

T = Temperature of the gas =

Putting values in above equation, we get:

Hence, the mass of neon in the sign is

the answer for sodium is 0.186

the answer for rubidium is 0.251