Question

A pretty pink glowing neon sign has a gas volume of 10.88 L at 10.0°C andHow many moles of neon gas are there in the sign?Note: record your answer to two decimal places.

Answer 1

0.03 mol

Step-by-step explanation

Given:

Volume, V = 10.88 L

Temperature, T = 10.0°C = (10.0 + 273.15 K) = 283.15 K

Pressure, P = 6.05 kPa

What to find:

The moles of neon gas in the sign.

Step-by-step solution:

The moles of neon gas in the sign can be calculated using the ideal gas equation:

`\begin{gathered} PV=nRT \\ \\ \Rightarrow n=(PV)/(RT) \\ \\ where\text{ }n\text{ }is\text{ }the\text{ }moles \end{gathered}`

R = molar gas constant = 8.314 L⋅kPa⋅K⁻¹⋅mol⁻¹

Plugging the values of the parameters into the formula, we have:

`\begin{gathered} n=\frac{6.05\text{ }kPa*10.88\text{ }L}{8.314\text{ }L⋅kPa⋅K⁻¹⋅mol⁻¹*283.15\text{ }K}= \\ \\ n=\frac{65.824}{2354.1091\text{ }mol^(-1)} \\ \\ n=0.02796mol \\ \\ To\text{ }two\text{ }decimal\text{ }places, \\ \\ n=0.03\text{ }mol \end{gathered}`

The moles of neon gas in the sign = 0.03 mol.